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Finding the Fourth Proportional to 691.74, 953.72 and 442.61

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Solution

The fourth proportional to 691.74, 953.72 and 442.61 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 953.72 = 442.61 : x
  2. Step 2: Convert to fraction form
    691.74/953.72 = 442.61/x
  3. Step 3: Cross multiply
    691.74x = 953.72 × 442.61
  4. Step 4: Simplify right side
    691.74x = 422,132.12
  5. Step 5: Solve for x
    x = 422,132.12/691.74
  6. Step 6: Final answer
    x = 610.25

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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.