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Finding the Fourth Proportional to 463.57, 639.70 and 288.61

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Solution

The fourth proportional to 463.57, 639.70 and 288.61 is: 398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.57 : 639.70 = 288.61 : x
  2. Step 2: Convert to fraction form
    463.57/639.70 = 288.61/x
  3. Step 3: Cross multiply
    463.57x = 639.70 × 288.61
  4. Step 4: Simplify right side
    463.57x = 184,623.82
  5. Step 5: Solve for x
    x = 184,623.82/463.57
  6. Step 6: Final answer
    x = 398.27

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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.