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Finding the Fourth Proportional to 576.56, 865.65 and 414.16

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Solution

The fourth proportional to 576.56, 865.65 and 414.16 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 865.65 = 414.16 : x
  2. Step 2: Convert to fraction form
    576.56/865.65 = 414.16/x
  3. Step 3: Cross multiply
    576.56x = 865.65 × 414.16
  4. Step 4: Simplify right side
    576.56x = 358,517.60
  5. Step 5: Solve for x
    x = 358,517.60/576.56
  6. Step 6: Final answer
    x = 621.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.