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Finding the Fourth Proportional to 530.60, 731.63 and 381.15

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Solution

The fourth proportional to 530.60, 731.63 and 381.15 is: 525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 731.63 = 381.15 : x
  2. Step 2: Convert to fraction form
    530.60/731.63 = 381.15/x
  3. Step 3: Cross multiply
    530.60x = 731.63 × 381.15
  4. Step 4: Simplify right side
    530.60x = 278,858.87
  5. Step 5: Solve for x
    x = 278,858.87/530.60
  6. Step 6: Final answer
    x = 525.56

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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.