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Finding the Fourth Proportional to 463.32, 639.27 and 288.63

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Solution

The fourth proportional to 463.32, 639.27 and 288.63 is: 398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 639.27 = 288.63 : x
  2. Step 2: Convert to fraction form
    463.32/639.27 = 288.63/x
  3. Step 3: Cross multiply
    463.32x = 639.27 × 288.63
  4. Step 4: Simplify right side
    463.32x = 184,512.50
  5. Step 5: Solve for x
    x = 184,512.50/463.32
  6. Step 6: Final answer
    x = 398.24

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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.