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Finding the Fourth Proportional to 463.32, 639.38 and 253.50

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Solution

The fourth proportional to 463.32, 639.38 and 253.50 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 639.38 = 253.50 : x
  2. Step 2: Convert to fraction form
    463.32/639.38 = 253.50/x
  3. Step 3: Cross multiply
    463.32x = 639.38 × 253.50
  4. Step 4: Simplify right side
    463.32x = 162,081.06
  5. Step 5: Solve for x
    x = 162,081.06/463.32
  6. Step 6: Final answer
    x = 349.82

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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.