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Finding the Fourth Proportional to 531.48, 731.70 and 504.12

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Solution

The fourth proportional to 531.48, 731.70 and 504.12 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.48 : 731.70 = 504.12 : x
  2. Step 2: Convert to fraction form
    531.48/731.70 = 504.12/x
  3. Step 3: Cross multiply
    531.48x = 731.70 × 504.12
  4. Step 4: Simplify right side
    531.48x = 368,864.60
  5. Step 5: Solve for x
    x = 368,864.60/531.48
  6. Step 6: Final answer
    x = 694.03

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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.