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Finding the Fourth Proportional to 660.25, 911.17 and 427.78

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Solution

The fourth proportional to 660.25, 911.17 and 427.78 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.25 : 911.17 = 427.78 : x
  2. Step 2: Convert to fraction form
    660.25/911.17 = 427.78/x
  3. Step 3: Cross multiply
    660.25x = 911.17 × 427.78
  4. Step 4: Simplify right side
    660.25x = 389,780.30
  5. Step 5: Solve for x
    x = 389,780.30/660.25
  6. Step 6: Final answer
    x = 590.35

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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.