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Finding the Fourth Proportional to 478.11, 717.06 and 204.06

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Solution

The fourth proportional to 478.11, 717.06 and 204.06 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 717.06 = 204.06 : x
  2. Step 2: Convert to fraction form
    478.11/717.06 = 204.06/x
  3. Step 3: Cross multiply
    478.11x = 717.06 × 204.06
  4. Step 4: Simplify right side
    478.11x = 146,323.26
  5. Step 5: Solve for x
    x = 146,323.26/478.11
  6. Step 6: Final answer
    x = 306.05

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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.