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Finding the Fourth Proportional to 463.92, 640.34 and 277.53

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Solution

The fourth proportional to 463.92, 640.34 and 277.53 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 640.34 = 277.53 : x
  2. Step 2: Convert to fraction form
    463.92/640.34 = 277.53/x
  3. Step 3: Cross multiply
    463.92x = 640.34 × 277.53
  4. Step 4: Simplify right side
    463.92x = 177,712.17
  5. Step 5: Solve for x
    x = 177,712.17/463.92
  6. Step 6: Final answer
    x = 383.07

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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.