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Finding the Fourth Proportional to 424.10, 634.86 and 259.12

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Solution

The fourth proportional to 424.10, 634.86 and 259.12 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 634.86 = 259.12 : x
  2. Step 2: Convert to fraction form
    424.10/634.86 = 259.12/x
  3. Step 3: Cross multiply
    424.10x = 634.86 × 259.12
  4. Step 4: Simplify right side
    424.10x = 164,504.92
  5. Step 5: Solve for x
    x = 164,504.92/424.10
  6. Step 6: Final answer
    x = 387.89

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