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Finding the Fourth Proportional to 680.47, 1,020.25 and 315.06

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Solution

The fourth proportional to 680.47, 1,020.25 and 315.06 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.47 : 1,020.25 = 315.06 : x
  2. Step 2: Convert to fraction form
    680.47/1,020.25 = 315.06/x
  3. Step 3: Cross multiply
    680.47x = 1,020.25 × 315.06
  4. Step 4: Simplify right side
    680.47x = 321,440.36
  5. Step 5: Solve for x
    x = 321,440.36/680.47
  6. Step 6: Final answer
    x = 472.38

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