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Finding the Fourth Proportional to 708.92, 1,063.58 and 298.24

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Solution

The fourth proportional to 708.92, 1,063.58 and 298.24 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.92 : 1,063.58 = 298.24 : x
  2. Step 2: Convert to fraction form
    708.92/1,063.58 = 298.24/x
  3. Step 3: Cross multiply
    708.92x = 1,063.58 × 298.24
  4. Step 4: Simplify right side
    708.92x = 317,202.10
  5. Step 5: Solve for x
    x = 317,202.10/708.92
  6. Step 6: Final answer
    x = 447.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.