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Finding the Fourth Proportional to 542.07, 748.09 and 309.19

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Solution

The fourth proportional to 542.07, 748.09 and 309.19 is: 426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.07 : 748.09 = 309.19 : x
  2. Step 2: Convert to fraction form
    542.07/748.09 = 309.19/x
  3. Step 3: Cross multiply
    542.07x = 748.09 × 309.19
  4. Step 4: Simplify right side
    542.07x = 231,301.95
  5. Step 5: Solve for x
    x = 231,301.95/542.07
  6. Step 6: Final answer
    x = 426.70

Related Problems

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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.