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Finding the Fourth Proportional to 552.97, 829.05 and 462.25

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Solution

The fourth proportional to 552.97, 829.05 and 462.25 is: 693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.97 : 829.05 = 462.25 : x
  2. Step 2: Convert to fraction form
    552.97/829.05 = 462.25/x
  3. Step 3: Cross multiply
    552.97x = 829.05 × 462.25
  4. Step 4: Simplify right side
    552.97x = 383,228.36
  5. Step 5: Solve for x
    x = 383,228.36/552.97
  6. Step 6: Final answer
    x = 693.04

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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.