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Finding the Fourth Proportional to 547.70, 820.25 and 316.11

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Solution

The fourth proportional to 547.70, 820.25 and 316.11 is: 473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 820.25 = 316.11 : x
  2. Step 2: Convert to fraction form
    547.70/820.25 = 316.11/x
  3. Step 3: Cross multiply
    547.70x = 820.25 × 316.11
  4. Step 4: Simplify right side
    547.70x = 259,287.65
  5. Step 5: Solve for x
    x = 259,287.65/547.70
  6. Step 6: Final answer
    x = 473.41

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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.