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Finding the Fourth Proportional to 705.70, 974.26 and 469.97

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Solution

The fourth proportional to 705.70, 974.26 and 469.97 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.70 : 974.26 = 469.97 : x
  2. Step 2: Convert to fraction form
    705.70/974.26 = 469.97/x
  3. Step 3: Cross multiply
    705.70x = 974.26 × 469.97
  4. Step 4: Simplify right side
    705.70x = 457,872.97
  5. Step 5: Solve for x
    x = 457,872.97/705.70
  6. Step 6: Final answer
    x = 648.82

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