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Finding the Fourth Proportional to 530.43, 731.13 and 425.34

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Solution

The fourth proportional to 530.43, 731.13 and 425.34 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.43 : 731.13 = 425.34 : x
  2. Step 2: Convert to fraction form
    530.43/731.13 = 425.34/x
  3. Step 3: Cross multiply
    530.43x = 731.13 × 425.34
  4. Step 4: Simplify right side
    530.43x = 310,978.83
  5. Step 5: Solve for x
    x = 310,978.83/530.43
  6. Step 6: Final answer
    x = 586.28

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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.