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Finding the Fourth Proportional to 691.20, 953.64 and 396.36

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Solution

The fourth proportional to 691.20, 953.64 and 396.36 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 953.64 = 396.36 : x
  2. Step 2: Convert to fraction form
    691.20/953.64 = 396.36/x
  3. Step 3: Cross multiply
    691.20x = 953.64 × 396.36
  4. Step 4: Simplify right side
    691.20x = 377,984.75
  5. Step 5: Solve for x
    x = 377,984.75/691.20
  6. Step 6: Final answer
    x = 546.85

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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.