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Finding the Fourth Proportional to 424.18, 635.72 and 288.10

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Solution

The fourth proportional to 424.18, 635.72 and 288.10 is: 431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.18 : 635.72 = 288.10 : x
  2. Step 2: Convert to fraction form
    424.18/635.72 = 288.10/x
  3. Step 3: Cross multiply
    424.18x = 635.72 × 288.10
  4. Step 4: Simplify right side
    424.18x = 183,150.93
  5. Step 5: Solve for x
    x = 183,150.93/424.18
  6. Step 6: Final answer
    x = 431.78

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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.