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Finding the Fourth Proportional to 530.60, 731.46 and 406.44

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Solution

The fourth proportional to 530.60, 731.46 and 406.44 is: 560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 731.46 = 406.44 : x
  2. Step 2: Convert to fraction form
    530.60/731.46 = 406.44/x
  3. Step 3: Cross multiply
    530.60x = 731.46 × 406.44
  4. Step 4: Simplify right side
    530.60x = 297,294.60
  5. Step 5: Solve for x
    x = 297,294.60/530.60
  6. Step 6: Final answer
    x = 560.30

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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.