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Finding the Fourth Proportional to 463.88, 640.61 and 298.16

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Solution

The fourth proportional to 463.88, 640.61 and 298.16 is: 411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.88 : 640.61 = 298.16 : x
  2. Step 2: Convert to fraction form
    463.88/640.61 = 298.16/x
  3. Step 3: Cross multiply
    463.88x = 640.61 × 298.16
  4. Step 4: Simplify right side
    463.88x = 190,999.58
  5. Step 5: Solve for x
    x = 190,999.58/463.88
  6. Step 6: Final answer
    x = 411.75

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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.