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Finding the Fourth Proportional to 690.26, 952.49 and 424.58

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Solution

The fourth proportional to 690.26, 952.49 and 424.58 is: 585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.26 : 952.49 = 424.58 : x
  2. Step 2: Convert to fraction form
    690.26/952.49 = 424.58/x
  3. Step 3: Cross multiply
    690.26x = 952.49 × 424.58
  4. Step 4: Simplify right side
    690.26x = 404,401.32
  5. Step 5: Solve for x
    x = 404,401.32/690.26
  6. Step 6: Final answer
    x = 585.87

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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.