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Finding the Fourth Proportional to 501.57, 691.07 and 422.91

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Solution

The fourth proportional to 501.57, 691.07 and 422.91 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 691.07 = 422.91 : x
  2. Step 2: Convert to fraction form
    501.57/691.07 = 422.91/x
  3. Step 3: Cross multiply
    501.57x = 691.07 × 422.91
  4. Step 4: Simplify right side
    501.57x = 292,258.30
  5. Step 5: Solve for x
    x = 292,258.30/501.57
  6. Step 6: Final answer
    x = 582.69

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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.