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Finding the Fourth Proportional to 463.72, 639.63 and 288.94

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Solution

The fourth proportional to 463.72, 639.63 and 288.94 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.72 : 639.63 = 288.94 : x
  2. Step 2: Convert to fraction form
    463.72/639.63 = 288.94/x
  3. Step 3: Cross multiply
    463.72x = 639.63 × 288.94
  4. Step 4: Simplify right side
    463.72x = 184,814.69
  5. Step 5: Solve for x
    x = 184,814.69/463.72
  6. Step 6: Final answer
    x = 398.55

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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.