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Finding the Fourth Proportional to 691.34, 953.91 and 396.54

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Solution

The fourth proportional to 691.34, 953.91 and 396.54 is: 547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.34 : 953.91 = 396.54 : x
  2. Step 2: Convert to fraction form
    691.34/953.91 = 396.54/x
  3. Step 3: Cross multiply
    691.34x = 953.91 × 396.54
  4. Step 4: Simplify right side
    691.34x = 378,263.47
  5. Step 5: Solve for x
    x = 378,263.47/691.34
  6. Step 6: Final answer
    x = 547.15

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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.