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Finding the Fourth Proportional to 966.04, 1,449 and 282.04

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Solution

The fourth proportional to 966.04, 1,449 and 282.04 is: 423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.04 : 1,449 = 282.04 : x
  2. Step 2: Convert to fraction form
    966.04/1,449 = 282.04/x
  3. Step 3: Cross multiply
    966.04x = 1,449 × 282.04
  4. Step 4: Simplify right side
    966.04x = 408,675.96
  5. Step 5: Solve for x
    x = 408,675.96/966.04
  6. Step 6: Final answer
    x = 423.04

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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.