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Finding the Fourth Proportional to 463.71, 640.02 and 298.06

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Solution

The fourth proportional to 463.71, 640.02 and 298.06 is: 411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.71 : 640.02 = 298.06 : x
  2. Step 2: Convert to fraction form
    463.71/640.02 = 298.06/x
  3. Step 3: Cross multiply
    463.71x = 640.02 × 298.06
  4. Step 4: Simplify right side
    463.71x = 190,764.36
  5. Step 5: Solve for x
    x = 190,764.36/463.71
  6. Step 6: Final answer
    x = 411.39

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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.