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Finding the Fourth Proportional to 708.99, 1,063.31 and 298.42

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Solution

The fourth proportional to 708.99, 1,063.31 and 298.42 is: 447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.99 : 1,063.31 = 298.42 : x
  2. Step 2: Convert to fraction form
    708.99/1,063.31 = 298.42/x
  3. Step 3: Cross multiply
    708.99x = 1,063.31 × 298.42
  4. Step 4: Simplify right side
    708.99x = 317,312.97
  5. Step 5: Solve for x
    x = 317,312.97/708.99
  6. Step 6: Final answer
    x = 447.56

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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.