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Finding the Fourth Proportional to 708.88, 1,063.52 and 276.16

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Solution

The fourth proportional to 708.88, 1,063.52 and 276.16 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.88 : 1,063.52 = 276.16 : x
  2. Step 2: Convert to fraction form
    708.88/1,063.52 = 276.16/x
  3. Step 3: Cross multiply
    708.88x = 1,063.52 × 276.16
  4. Step 4: Simplify right side
    708.88x = 293,701.68
  5. Step 5: Solve for x
    x = 293,701.68/708.88
  6. Step 6: Final answer
    x = 414.32

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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.