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Finding the Fourth Proportional to 690.31, 952.74 and 441.61

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Solution

The fourth proportional to 690.31, 952.74 and 441.61 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.31 : 952.74 = 441.61 : x
  2. Step 2: Convert to fraction form
    690.31/952.74 = 441.61/x
  3. Step 3: Cross multiply
    690.31x = 952.74 × 441.61
  4. Step 4: Simplify right side
    690.31x = 420,742.49
  5. Step 5: Solve for x
    x = 420,742.49/690.31
  6. Step 6: Final answer
    x = 609.50

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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.