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Finding the Fourth Proportional to 564.91, 845.71 and 419.31

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Solution

The fourth proportional to 564.91, 845.71 and 419.31 is: 627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.91 : 845.71 = 419.31 : x
  2. Step 2: Convert to fraction form
    564.91/845.71 = 419.31/x
  3. Step 3: Cross multiply
    564.91x = 845.71 × 419.31
  4. Step 4: Simplify right side
    564.91x = 354,613.61
  5. Step 5: Solve for x
    x = 354,613.61/564.91
  6. Step 6: Final answer
    x = 627.74

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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.