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Finding the Fourth Proportional to 463.07, 696.21 and 372.41

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Solution

The fourth proportional to 463.07, 696.21 and 372.41 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.07 : 696.21 = 372.41 : x
  2. Step 2: Convert to fraction form
    463.07/696.21 = 372.41/x
  3. Step 3: Cross multiply
    463.07x = 696.21 × 372.41
  4. Step 4: Simplify right side
    463.07x = 259,275.57
  5. Step 5: Solve for x
    x = 259,275.57/463.07
  6. Step 6: Final answer
    x = 559.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.