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Finding the Fourth Proportional to 660.26, 908.88 and 591.68

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Solution

The fourth proportional to 660.26, 908.88 and 591.68 is: 814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.26 : 908.88 = 591.68 : x
  2. Step 2: Convert to fraction form
    660.26/908.88 = 591.68/x
  3. Step 3: Cross multiply
    660.26x = 908.88 × 591.68
  4. Step 4: Simplify right side
    660.26x = 537,766.12
  5. Step 5: Solve for x
    x = 537,766.12/660.26
  6. Step 6: Final answer
    x = 814.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.