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Finding the Fourth Proportional to 478.38, 717.75 and 204.33

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Solution

The fourth proportional to 478.38, 717.75 and 204.33 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.38 : 717.75 = 204.33 : x
  2. Step 2: Convert to fraction form
    478.38/717.75 = 204.33/x
  3. Step 3: Cross multiply
    478.38x = 717.75 × 204.33
  4. Step 4: Simplify right side
    478.38x = 146,657.86
  5. Step 5: Solve for x
    x = 146,657.86/478.38
  6. Step 6: Final answer
    x = 306.57

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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.