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Finding the Fourth Proportional to 645.17, 890.24 and 424.26

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Solution

The fourth proportional to 645.17, 890.24 and 424.26 is: 585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.17 : 890.24 = 424.26 : x
  2. Step 2: Convert to fraction form
    645.17/890.24 = 424.26/x
  3. Step 3: Cross multiply
    645.17x = 890.24 × 424.26
  4. Step 4: Simplify right side
    645.17x = 377,691.10
  5. Step 5: Solve for x
    x = 377,691.10/645.17
  6. Step 6: Final answer
    x = 585.42

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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.