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Finding the Fourth Proportional to 463.14, 639.15 and 253.32

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Solution

The fourth proportional to 463.14, 639.15 and 253.32 is: 349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 639.15 = 253.32 : x
  2. Step 2: Convert to fraction form
    463.14/639.15 = 253.32/x
  3. Step 3: Cross multiply
    463.14x = 639.15 × 253.32
  4. Step 4: Simplify right side
    463.14x = 161,909.46
  5. Step 5: Solve for x
    x = 161,909.46/463.14
  6. Step 6: Final answer
    x = 349.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.