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Finding the Fourth Proportional to 660.34, 911.09 and 427.70

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Solution

The fourth proportional to 660.34, 911.09 and 427.70 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.34 : 911.09 = 427.70 : x
  2. Step 2: Convert to fraction form
    660.34/911.09 = 427.70/x
  3. Step 3: Cross multiply
    660.34x = 911.09 × 427.70
  4. Step 4: Simplify right side
    660.34x = 389,673.19
  5. Step 5: Solve for x
    x = 389,673.19/660.34
  6. Step 6: Final answer
    x = 590.11

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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.