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Finding the Fourth Proportional to 531.42, 732.87 and 506.46

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Solution

The fourth proportional to 531.42, 732.87 and 506.46 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.42 : 732.87 = 506.46 : x
  2. Step 2: Convert to fraction form
    531.42/732.87 = 506.46/x
  3. Step 3: Cross multiply
    531.42x = 732.87 × 506.46
  4. Step 4: Simplify right side
    531.42x = 371,169.34
  5. Step 5: Solve for x
    x = 371,169.34/531.42
  6. Step 6: Final answer
    x = 698.45

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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.