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Finding the Fourth Proportional to 463.17, 639.18 and 288.57

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Solution

The fourth proportional to 463.17, 639.18 and 288.57 is: 398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.17 : 639.18 = 288.57 : x
  2. Step 2: Convert to fraction form
    463.17/639.18 = 288.57/x
  3. Step 3: Cross multiply
    463.17x = 639.18 × 288.57
  4. Step 4: Simplify right side
    463.17x = 184,448.17
  5. Step 5: Solve for x
    x = 184,448.17/463.17
  6. Step 6: Final answer
    x = 398.23

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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.