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Finding the Fourth Proportional to 483.78, 724.59 and 472.98

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Solution

The fourth proportional to 483.78, 724.59 and 472.98 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.78 : 724.59 = 472.98 : x
  2. Step 2: Convert to fraction form
    483.78/724.59 = 472.98/x
  3. Step 3: Cross multiply
    483.78x = 724.59 × 472.98
  4. Step 4: Simplify right side
    483.78x = 342,716.58
  5. Step 5: Solve for x
    x = 342,716.58/483.78
  6. Step 6: Final answer
    x = 708.41

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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.