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Finding the Fourth Proportional to 947.28, 1,421.12 and 289.18

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Solution

The fourth proportional to 947.28, 1,421.12 and 289.18 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,421.12 = 289.18 : x
  2. Step 2: Convert to fraction form
    947.28/1,421.12 = 289.18/x
  3. Step 3: Cross multiply
    947.28x = 1,421.12 × 289.18
  4. Step 4: Simplify right side
    947.28x = 410,959.48
  5. Step 5: Solve for x
    x = 410,959.48/947.28
  6. Step 6: Final answer
    x = 433.83

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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.