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Finding the Fourth Proportional to 705.52, 974.16 and 443.68

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Solution

The fourth proportional to 705.52, 974.16 and 443.68 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.52 : 974.16 = 443.68 : x
  2. Step 2: Convert to fraction form
    705.52/974.16 = 443.68/x
  3. Step 3: Cross multiply
    705.52x = 974.16 × 443.68
  4. Step 4: Simplify right side
    705.52x = 432,215.31
  5. Step 5: Solve for x
    x = 432,215.31/705.52
  6. Step 6: Final answer
    x = 612.62

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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.