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Finding the Fourth Proportional to 530.32, 732.20 and 405.76

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Solution

The fourth proportional to 530.32, 732.20 and 405.76 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.32 : 732.20 = 405.76 : x
  2. Step 2: Convert to fraction form
    530.32/732.20 = 405.76/x
  3. Step 3: Cross multiply
    530.32x = 732.20 × 405.76
  4. Step 4: Simplify right side
    530.32x = 297,098.49
  5. Step 5: Solve for x
    x = 297,098.49/530.32
  6. Step 6: Final answer
    x = 560.23

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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.