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Finding the Fourth Proportional to 866.24, 1,299.20 and 288.96

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Solution

The fourth proportional to 866.24, 1,299.20 and 288.96 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.24 : 1,299.20 = 288.96 : x
  2. Step 2: Convert to fraction form
    866.24/1,299.20 = 288.96/x
  3. Step 3: Cross multiply
    866.24x = 1,299.20 × 288.96
  4. Step 4: Simplify right side
    866.24x = 375,416.83
  5. Step 5: Solve for x
    x = 375,416.83/866.24
  6. Step 6: Final answer
    x = 433.39

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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.