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Finding the Fourth Proportional to 542.16, 812.40 and 253.26

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Solution

The fourth proportional to 542.16, 812.40 and 253.26 is: 379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 812.40 = 253.26 : x
  2. Step 2: Convert to fraction form
    542.16/812.40 = 253.26/x
  3. Step 3: Cross multiply
    542.16x = 812.40 × 253.26
  4. Step 4: Simplify right side
    542.16x = 205,748.42
  5. Step 5: Solve for x
    x = 205,748.42/542.16
  6. Step 6: Final answer
    x = 379.50

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.