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Finding the Fourth Proportional to 660.50, 911.52 and 427.76

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Solution

The fourth proportional to 660.50, 911.52 and 427.76 is: 590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.50 : 911.52 = 427.76 : x
  2. Step 2: Convert to fraction form
    660.50/911.52 = 427.76/x
  3. Step 3: Cross multiply
    660.50x = 911.52 × 427.76
  4. Step 4: Simplify right side
    660.50x = 389,911.80
  5. Step 5: Solve for x
    x = 389,911.80/660.50
  6. Step 6: Final answer
    x = 590.33

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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.