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Finding the Fourth Proportional to 463.18, 639.30 and 288.46

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Solution

The fourth proportional to 463.18, 639.30 and 288.46 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.18 : 639.30 = 288.46 : x
  2. Step 2: Convert to fraction form
    463.18/639.30 = 288.46/x
  3. Step 3: Cross multiply
    463.18x = 639.30 × 288.46
  4. Step 4: Simplify right side
    463.18x = 184,412.48
  5. Step 5: Solve for x
    x = 184,412.48/463.18
  6. Step 6: Final answer
    x = 398.14

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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.