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Finding the Fourth Proportional to 691.44, 954.37 and 408.10

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Solution

The fourth proportional to 691.44, 954.37 and 408.10 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.44 : 954.37 = 408.10 : x
  2. Step 2: Convert to fraction form
    691.44/954.37 = 408.10/x
  3. Step 3: Cross multiply
    691.44x = 954.37 × 408.10
  4. Step 4: Simplify right side
    691.44x = 389,478.40
  5. Step 5: Solve for x
    x = 389,478.40/691.44
  6. Step 6: Final answer
    x = 563.29

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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.