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Finding the Fourth Proportional to 426.17, 639.68 and 253.14

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Solution

The fourth proportional to 426.17, 639.68 and 253.14 is: 379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.17 : 639.68 = 253.14 : x
  2. Step 2: Convert to fraction form
    426.17/639.68 = 253.14/x
  3. Step 3: Cross multiply
    426.17x = 639.68 × 253.14
  4. Step 4: Simplify right side
    426.17x = 161,927.33
  5. Step 5: Solve for x
    x = 161,927.33/426.17
  6. Step 6: Final answer
    x = 379.96

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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.