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Finding the Fourth Proportional to 483.57, 724.14 and 470.41

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Solution

The fourth proportional to 483.57, 724.14 and 470.41 is: 704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.57 : 724.14 = 470.41 : x
  2. Step 2: Convert to fraction form
    483.57/724.14 = 470.41/x
  3. Step 3: Cross multiply
    483.57x = 724.14 × 470.41
  4. Step 4: Simplify right side
    483.57x = 340,640.89
  5. Step 5: Solve for x
    x = 340,640.89/483.57
  6. Step 6: Final answer
    x = 704.43

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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.