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Finding the Fourth Proportional to 532.64, 736.08 and 428.96

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Solution

The fourth proportional to 532.64, 736.08 and 428.96 is: 592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 736.08 = 428.96 : x
  2. Step 2: Convert to fraction form
    532.64/736.08 = 428.96/x
  3. Step 3: Cross multiply
    532.64x = 736.08 × 428.96
  4. Step 4: Simplify right side
    532.64x = 315,748.88
  5. Step 5: Solve for x
    x = 315,748.88/532.64
  6. Step 6: Final answer
    x = 592.80

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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.