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Finding the Fourth Proportional to 691.68, 954.22 and 442.56

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Solution

The fourth proportional to 691.68, 954.22 and 442.56 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.68 : 954.22 = 442.56 : x
  2. Step 2: Convert to fraction form
    691.68/954.22 = 442.56/x
  3. Step 3: Cross multiply
    691.68x = 954.22 × 442.56
  4. Step 4: Simplify right side
    691.68x = 422,299.60
  5. Step 5: Solve for x
    x = 422,299.60/691.68
  6. Step 6: Final answer
    x = 610.54

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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.