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Finding the Fourth Proportional to 572.39, 861.94 and 411.20

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Solution

The fourth proportional to 572.39, 861.94 and 411.20 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.39 : 861.94 = 411.20 : x
  2. Step 2: Convert to fraction form
    572.39/861.94 = 411.20/x
  3. Step 3: Cross multiply
    572.39x = 861.94 × 411.20
  4. Step 4: Simplify right side
    572.39x = 354,424.39
  5. Step 5: Solve for x
    x = 354,424.39/572.39
  6. Step 6: Final answer
    x = 619.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.