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Finding the Fourth Proportional to 690.08, 952.42 and 515.92

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Solution

The fourth proportional to 690.08, 952.42 and 515.92 is: 712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.08 : 952.42 = 515.92 : x
  2. Step 2: Convert to fraction form
    690.08/952.42 = 515.92/x
  3. Step 3: Cross multiply
    690.08x = 952.42 × 515.92
  4. Step 4: Simplify right side
    690.08x = 491,372.53
  5. Step 5: Solve for x
    x = 491,372.53/690.08
  6. Step 6: Final answer
    x = 712.05

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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.