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Finding the Fourth Proportional to 531.18, 733.10 and 406.80

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Solution

The fourth proportional to 531.18, 733.10 and 406.80 is: 561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.18 : 733.10 = 406.80 : x
  2. Step 2: Convert to fraction form
    531.18/733.10 = 406.80/x
  3. Step 3: Cross multiply
    531.18x = 733.10 × 406.80
  4. Step 4: Simplify right side
    531.18x = 298,223.27
  5. Step 5: Solve for x
    x = 298,223.27/531.18
  6. Step 6: Final answer
    x = 561.43

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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.