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Finding the Fourth Proportional to 574.83, 861.17 and 419.00

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Solution

The fourth proportional to 574.83, 861.17 and 419.00 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.83 : 861.17 = 419.00 : x
  2. Step 2: Convert to fraction form
    574.83/861.17 = 419.00/x
  3. Step 3: Cross multiply
    574.83x = 861.17 × 419.00
  4. Step 4: Simplify right side
    574.83x = 360,823.83
  5. Step 5: Solve for x
    x = 360,823.83/574.83
  6. Step 6: Final answer
    x = 627.71

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Why These Related Problems?

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