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Finding the Fourth Proportional to 691.10, 954.03 and 442.75

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Solution

The fourth proportional to 691.10, 954.03 and 442.75 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.10 : 954.03 = 442.75 : x
  2. Step 2: Convert to fraction form
    691.10/954.03 = 442.75/x
  3. Step 3: Cross multiply
    691.10x = 954.03 × 442.75
  4. Step 4: Simplify right side
    691.10x = 422,396.78
  5. Step 5: Solve for x
    x = 422,396.78/691.10
  6. Step 6: Final answer
    x = 611.19

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