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Finding the Fourth Proportional to 424.60, 635.46 and 253.72

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Solution

The fourth proportional to 424.60, 635.46 and 253.72 is: 379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.60 : 635.46 = 253.72 : x
  2. Step 2: Convert to fraction form
    424.60/635.46 = 253.72/x
  3. Step 3: Cross multiply
    424.60x = 635.46 × 253.72
  4. Step 4: Simplify right side
    424.60x = 161,228.91
  5. Step 5: Solve for x
    x = 161,228.91/424.60
  6. Step 6: Final answer
    x = 379.72

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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.