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Finding the Fourth Proportional to 689.74, 952 and 424.26

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Solution

The fourth proportional to 689.74, 952 and 424.26 is: 585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.74 : 952 = 424.26 : x
  2. Step 2: Convert to fraction form
    689.74/952 = 424.26/x
  3. Step 3: Cross multiply
    689.74x = 952 × 424.26
  4. Step 4: Simplify right side
    689.74x = 403,895.52
  5. Step 5: Solve for x
    x = 403,895.52/689.74
  6. Step 6: Final answer
    x = 585.58

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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.