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Finding the Fourth Proportional to 680.29, 1,020.28 and 314.88

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Solution

The fourth proportional to 680.29, 1,020.28 and 314.88 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 1,020.28 = 314.88 : x
  2. Step 2: Convert to fraction form
    680.29/1,020.28 = 314.88/x
  3. Step 3: Cross multiply
    680.29x = 1,020.28 × 314.88
  4. Step 4: Simplify right side
    680.29x = 321,265.77
  5. Step 5: Solve for x
    x = 321,265.77/680.29
  6. Step 6: Final answer
    x = 472.25

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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.