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Finding the Fourth Proportional to 866.32, 1,299.56 and 289.24

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Solution

The fourth proportional to 866.32, 1,299.56 and 289.24 is: 433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.32 : 1,299.56 = 289.24 : x
  2. Step 2: Convert to fraction form
    866.32/1,299.56 = 289.24/x
  3. Step 3: Cross multiply
    866.32x = 1,299.56 × 289.24
  4. Step 4: Simplify right side
    866.32x = 375,884.73
  5. Step 5: Solve for x
    x = 375,884.73/866.32
  6. Step 6: Final answer
    x = 433.89

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.