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Finding the Fourth Proportional to 483.32, 725.19 and 414.68

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Solution

The fourth proportional to 483.32, 725.19 and 414.68 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.32 : 725.19 = 414.68 : x
  2. Step 2: Convert to fraction form
    483.32/725.19 = 414.68/x
  3. Step 3: Cross multiply
    483.32x = 725.19 × 414.68
  4. Step 4: Simplify right side
    483.32x = 300,721.79
  5. Step 5: Solve for x
    x = 300,721.79/483.32
  6. Step 6: Final answer
    x = 622.20

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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.