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Finding the Fourth Proportional to 616.25, 849.48 and 542.14

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Solution

The fourth proportional to 616.25, 849.48 and 542.14 is: 747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.25 : 849.48 = 542.14 : x
  2. Step 2: Convert to fraction form
    616.25/849.48 = 542.14/x
  3. Step 3: Cross multiply
    616.25x = 849.48 × 542.14
  4. Step 4: Simplify right side
    616.25x = 460,537.09
  5. Step 5: Solve for x
    x = 460,537.09/616.25
  6. Step 6: Final answer
    x = 747.32

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.