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Finding the Fourth Proportional to 463.52, 640.06 and 380.54

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Solution

The fourth proportional to 463.52, 640.06 and 380.54 is: 525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 640.06 = 380.54 : x
  2. Step 2: Convert to fraction form
    463.52/640.06 = 380.54/x
  3. Step 3: Cross multiply
    463.52x = 640.06 × 380.54
  4. Step 4: Simplify right side
    463.52x = 243,568.43
  5. Step 5: Solve for x
    x = 243,568.43/463.52
  6. Step 6: Final answer
    x = 525.48

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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.