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Finding the Fourth Proportional to 542.60, 812.10 and 477.80

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Solution

The fourth proportional to 542.60, 812.10 and 477.80 is: 715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.60 : 812.10 = 477.80 : x
  2. Step 2: Convert to fraction form
    542.60/812.10 = 477.80/x
  3. Step 3: Cross multiply
    542.60x = 812.10 × 477.80
  4. Step 4: Simplify right side
    542.60x = 388,021.38
  5. Step 5: Solve for x
    x = 388,021.38/542.60
  6. Step 6: Final answer
    x = 715.11

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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.