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Finding the Fourth Proportional to 532.70, 796.26 and 462.74

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Solution

The fourth proportional to 532.70, 796.26 and 462.74 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.70 : 796.26 = 462.74 : x
  2. Step 2: Convert to fraction form
    532.70/796.26 = 462.74/x
  3. Step 3: Cross multiply
    532.70x = 796.26 × 462.74
  4. Step 4: Simplify right side
    532.70x = 368,457.44
  5. Step 5: Solve for x
    x = 368,457.44/532.70
  6. Step 6: Final answer
    x = 691.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.