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Finding the Fourth Proportional to 463.04, 639.28 and 288.48

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Solution

The fourth proportional to 463.04, 639.28 and 288.48 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 639.28 = 288.48 : x
  2. Step 2: Convert to fraction form
    463.04/639.28 = 288.48/x
  3. Step 3: Cross multiply
    463.04x = 639.28 × 288.48
  4. Step 4: Simplify right side
    463.04x = 184,419.49
  5. Step 5: Solve for x
    x = 184,419.49/463.04
  6. Step 6: Final answer
    x = 398.28

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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.