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Finding the Fourth Proportional to 454.28, 683.34 and 410.12

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Solution

The fourth proportional to 454.28, 683.34 and 410.12 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.28 : 683.34 = 410.12 : x
  2. Step 2: Convert to fraction form
    454.28/683.34 = 410.12/x
  3. Step 3: Cross multiply
    454.28x = 683.34 × 410.12
  4. Step 4: Simplify right side
    454.28x = 280,251.40
  5. Step 5: Solve for x
    x = 280,251.40/454.28
  6. Step 6: Final answer
    x = 616.91

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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.