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Finding the Fourth Proportional to 691.46, 954.20 and 396.72

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Solution

The fourth proportional to 691.46, 954.20 and 396.72 is: 547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.46 : 954.20 = 396.72 : x
  2. Step 2: Convert to fraction form
    691.46/954.20 = 396.72/x
  3. Step 3: Cross multiply
    691.46x = 954.20 × 396.72
  4. Step 4: Simplify right side
    691.46x = 378,550.22
  5. Step 5: Solve for x
    x = 378,550.22/691.46
  6. Step 6: Final answer
    x = 547.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.