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Finding the Fourth Proportional to 478.49, 717.03 and 204.19

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Solution

The fourth proportional to 478.49, 717.03 and 204.19 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.49 : 717.03 = 204.19 : x
  2. Step 2: Convert to fraction form
    478.49/717.03 = 204.19/x
  3. Step 3: Cross multiply
    478.49x = 717.03 × 204.19
  4. Step 4: Simplify right side
    478.49x = 146,408.56
  5. Step 5: Solve for x
    x = 146,408.56/478.49
  6. Step 6: Final answer
    x = 305.98

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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.