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Finding the Fourth Proportional to 478.26, 716.89 and 185.56

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Solution

The fourth proportional to 478.26, 716.89 and 185.56 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.26 : 716.89 = 185.56 : x
  2. Step 2: Convert to fraction form
    478.26/716.89 = 185.56/x
  3. Step 3: Cross multiply
    478.26x = 716.89 × 185.56
  4. Step 4: Simplify right side
    478.26x = 133,026.11
  5. Step 5: Solve for x
    x = 133,026.11/478.26
  6. Step 6: Final answer
    x = 278.15

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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.