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Finding the Fourth Proportional to 705.52, 974.22 and 472.78

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Solution

The fourth proportional to 705.52, 974.22 and 472.78 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.52 : 974.22 = 472.78 : x
  2. Step 2: Convert to fraction form
    705.52/974.22 = 472.78/x
  3. Step 3: Cross multiply
    705.52x = 974.22 × 472.78
  4. Step 4: Simplify right side
    705.52x = 460,591.73
  5. Step 5: Solve for x
    x = 460,591.73/705.52
  6. Step 6: Final answer
    x = 652.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.