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Finding the Fourth Proportional to 531.60, 732.36 and 427.92

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Solution

The fourth proportional to 531.60, 732.36 and 427.92 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.60 : 732.36 = 427.92 : x
  2. Step 2: Convert to fraction form
    531.60/732.36 = 427.92/x
  3. Step 3: Cross multiply
    531.60x = 732.36 × 427.92
  4. Step 4: Simplify right side
    531.60x = 313,391.49
  5. Step 5: Solve for x
    x = 313,391.49/531.60
  6. Step 6: Final answer
    x = 589.53

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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.