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Finding the Fourth Proportional to 478.20, 716.98 and 204.22

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Solution

The fourth proportional to 478.20, 716.98 and 204.22 is: 306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.20 : 716.98 = 204.22 : x
  2. Step 2: Convert to fraction form
    478.20/716.98 = 204.22/x
  3. Step 3: Cross multiply
    478.20x = 716.98 × 204.22
  4. Step 4: Simplify right side
    478.20x = 146,421.66
  5. Step 5: Solve for x
    x = 146,421.66/478.20
  6. Step 6: Final answer
    x = 306.19

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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.