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Finding the Fourth Proportional to 530.57, 731.85 and 383.42

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Solution

The fourth proportional to 530.57, 731.85 and 383.42 is: 528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.57 : 731.85 = 383.42 : x
  2. Step 2: Convert to fraction form
    530.57/731.85 = 383.42/x
  3. Step 3: Cross multiply
    530.57x = 731.85 × 383.42
  4. Step 4: Simplify right side
    530.57x = 280,605.93
  5. Step 5: Solve for x
    x = 280,605.93/530.57
  6. Step 6: Final answer
    x = 528.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.