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Finding the Fourth Proportional to 424.90, 636.50 and 260.17

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Solution

The fourth proportional to 424.90, 636.50 and 260.17 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.90 : 636.50 = 260.17 : x
  2. Step 2: Convert to fraction form
    424.90/636.50 = 260.17/x
  3. Step 3: Cross multiply
    424.90x = 636.50 × 260.17
  4. Step 4: Simplify right side
    424.90x = 165,597.26
  5. Step 5: Solve for x
    x = 165,597.26/424.90
  6. Step 6: Final answer
    x = 389.73

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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.