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Finding the Fourth Proportional to 483.46, 724.28 and 406.90

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Solution

The fourth proportional to 483.46, 724.28 and 406.90 is: 609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.46 : 724.28 = 406.90 : x
  2. Step 2: Convert to fraction form
    483.46/724.28 = 406.90/x
  3. Step 3: Cross multiply
    483.46x = 724.28 × 406.90
  4. Step 4: Simplify right side
    483.46x = 294,709.53
  5. Step 5: Solve for x
    x = 294,709.53/483.46
  6. Step 6: Final answer
    x = 609.58

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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.