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Finding the Fourth Proportional to 660.24, 908.88 and 520.80

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Solution

The fourth proportional to 660.24, 908.88 and 520.80 is: 716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.24 : 908.88 = 520.80 : x
  2. Step 2: Convert to fraction form
    660.24/908.88 = 520.80/x
  3. Step 3: Cross multiply
    660.24x = 908.88 × 520.80
  4. Step 4: Simplify right side
    660.24x = 473,344.70
  5. Step 5: Solve for x
    x = 473,344.70/660.24
  6. Step 6: Final answer
    x = 716.93

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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.