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Finding the Fourth Proportional to 689.82, 951.75 and 424.17

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Solution

The fourth proportional to 689.82, 951.75 and 424.17 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 951.75 = 424.17 : x
  2. Step 2: Convert to fraction form
    689.82/951.75 = 424.17/x
  3. Step 3: Cross multiply
    689.82x = 951.75 × 424.17
  4. Step 4: Simplify right side
    689.82x = 403,703.80
  5. Step 5: Solve for x
    x = 403,703.80/689.82
  6. Step 6: Final answer
    x = 585.23

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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.