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Finding the Fourth Proportional to 705.99, 974.16 and 443.82

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Solution

The fourth proportional to 705.99, 974.16 and 443.82 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.99 : 974.16 = 443.82 : x
  2. Step 2: Convert to fraction form
    705.99/974.16 = 443.82/x
  3. Step 3: Cross multiply
    705.99x = 974.16 × 443.82
  4. Step 4: Simplify right side
    705.99x = 432,351.69
  5. Step 5: Solve for x
    x = 432,351.69/705.99
  6. Step 6: Final answer
    x = 612.40

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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.