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Finding the Fourth Proportional to 532.24, 796.28 and 466.74

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Solution

The fourth proportional to 532.24, 796.28 and 466.74 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.24 : 796.28 = 466.74 : x
  2. Step 2: Convert to fraction form
    532.24/796.28 = 466.74/x
  3. Step 3: Cross multiply
    532.24x = 796.28 × 466.74
  4. Step 4: Simplify right side
    532.24x = 371,655.73
  5. Step 5: Solve for x
    x = 371,655.73/532.24
  6. Step 6: Final answer
    x = 698.29

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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.