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Finding the Fourth Proportional to 478.20, 716.41 and 401.66

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Solution

The fourth proportional to 478.20, 716.41 and 401.66 is: 601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.20 : 716.41 = 401.66 : x
  2. Step 2: Convert to fraction form
    478.20/716.41 = 401.66/x
  3. Step 3: Cross multiply
    478.20x = 716.41 × 401.66
  4. Step 4: Simplify right side
    478.20x = 287,753.24
  5. Step 5: Solve for x
    x = 287,753.24/478.20
  6. Step 6: Final answer
    x = 601.74

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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.