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Finding the Fourth Proportional to 866.16, 1,299.30 and 288.84

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Solution

The fourth proportional to 866.16, 1,299.30 and 288.84 is: 433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,299.30 = 288.84 : x
  2. Step 2: Convert to fraction form
    866.16/1,299.30 = 288.84/x
  3. Step 3: Cross multiply
    866.16x = 1,299.30 × 288.84
  4. Step 4: Simplify right side
    866.16x = 375,289.81
  5. Step 5: Solve for x
    x = 375,289.81/866.16
  6. Step 6: Final answer
    x = 433.28

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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.