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Finding the Fourth Proportional to 462.75, 693.06 and 396.17

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Solution

The fourth proportional to 462.75, 693.06 and 396.17 is: 593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 693.06 = 396.17 : x
  2. Step 2: Convert to fraction form
    462.75/693.06 = 396.17/x
  3. Step 3: Cross multiply
    462.75x = 693.06 × 396.17
  4. Step 4: Simplify right side
    462.75x = 274,569.58
  5. Step 5: Solve for x
    x = 274,569.58/462.75
  6. Step 6: Final answer
    x = 593.34

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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.