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Finding the Fourth Proportional to 758.10, 1,046.18 and 422

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Solution

The fourth proportional to 758.10, 1,046.18 and 422 is: 582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.10 : 1,046.18 = 422 : x
  2. Step 2: Convert to fraction form
    758.10/1,046.18 = 422/x
  3. Step 3: Cross multiply
    758.10x = 1,046.18 × 422
  4. Step 4: Simplify right side
    758.10x = 441,487.96
  5. Step 5: Solve for x
    x = 441,487.96/758.10
  6. Step 6: Final answer
    x = 582.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.