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Finding the Fourth Proportional to 708.96, 1,063.72 and 276.24

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Solution

The fourth proportional to 708.96, 1,063.72 and 276.24 is: 414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.96 : 1,063.72 = 276.24 : x
  2. Step 2: Convert to fraction form
    708.96/1,063.72 = 276.24/x
  3. Step 3: Cross multiply
    708.96x = 1,063.72 × 276.24
  4. Step 4: Simplify right side
    708.96x = 293,842.01
  5. Step 5: Solve for x
    x = 293,842.01/708.96
  6. Step 6: Final answer
    x = 414.47

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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.