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Finding the Fourth Proportional to 689.99, 952.25 and 410.27

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Solution

The fourth proportional to 689.99, 952.25 and 410.27 is: 566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.99 : 952.25 = 410.27 : x
  2. Step 2: Convert to fraction form
    689.99/952.25 = 410.27/x
  3. Step 3: Cross multiply
    689.99x = 952.25 × 410.27
  4. Step 4: Simplify right side
    689.99x = 390,672.79
  5. Step 5: Solve for x
    x = 390,672.79/689.99
  6. Step 6: Final answer
    x = 566.20

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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.