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Finding the Fourth Proportional to 630.72, 869.60 and 397.44

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Solution

The fourth proportional to 630.72, 869.60 and 397.44 is: 547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 869.60 = 397.44 : x
  2. Step 2: Convert to fraction form
    630.72/869.60 = 397.44/x
  3. Step 3: Cross multiply
    630.72x = 869.60 × 397.44
  4. Step 4: Simplify right side
    630.72x = 345,613.82
  5. Step 5: Solve for x
    x = 345,613.82/630.72
  6. Step 6: Final answer
    x = 547.97

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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.