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Finding the Fourth Proportional to 478.10, 716.66 and 203.96

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Solution

The fourth proportional to 478.10, 716.66 and 203.96 is: 305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.10 : 716.66 = 203.96 : x
  2. Step 2: Convert to fraction form
    478.10/716.66 = 203.96/x
  3. Step 3: Cross multiply
    478.10x = 716.66 × 203.96
  4. Step 4: Simplify right side
    478.10x = 146,169.97
  5. Step 5: Solve for x
    x = 146,169.97/478.10
  6. Step 6: Final answer
    x = 305.73

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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.