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Finding the Fourth Proportional to 463.62, 639.96 and 288.93

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Solution

The fourth proportional to 463.62, 639.96 and 288.93 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 639.96 = 288.93 : x
  2. Step 2: Convert to fraction form
    463.62/639.96 = 288.93/x
  3. Step 3: Cross multiply
    463.62x = 639.96 × 288.93
  4. Step 4: Simplify right side
    463.62x = 184,903.64
  5. Step 5: Solve for x
    x = 184,903.64/463.62
  6. Step 6: Final answer
    x = 398.83

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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.