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Finding the Fourth Proportional to 705.72, 974.46 and 444.12

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Solution

The fourth proportional to 705.72, 974.46 and 444.12 is: 613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 974.46 = 444.12 : x
  2. Step 2: Convert to fraction form
    705.72/974.46 = 444.12/x
  3. Step 3: Cross multiply
    705.72x = 974.46 × 444.12
  4. Step 4: Simplify right side
    705.72x = 432,777.18
  5. Step 5: Solve for x
    x = 432,777.18/705.72
  6. Step 6: Final answer
    x = 613.24

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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.