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Finding the Fourth Proportional to 690.27, 951.84 and 441.60

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Solution

The fourth proportional to 690.27, 951.84 and 441.60 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.27 : 951.84 = 441.60 : x
  2. Step 2: Convert to fraction form
    690.27/951.84 = 441.60/x
  3. Step 3: Cross multiply
    690.27x = 951.84 × 441.60
  4. Step 4: Simplify right side
    690.27x = 420,332.54
  5. Step 5: Solve for x
    x = 420,332.54/690.27
  6. Step 6: Final answer
    x = 608.94

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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.