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Finding the Fourth Proportional to 478.11, 716.93 and 185.74

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Solution

The fourth proportional to 478.11, 716.93 and 185.74 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.11 : 716.93 = 185.74 : x
  2. Step 2: Convert to fraction form
    478.11/716.93 = 185.74/x
  3. Step 3: Cross multiply
    478.11x = 716.93 × 185.74
  4. Step 4: Simplify right side
    478.11x = 133,164.59
  5. Step 5: Solve for x
    x = 133,164.59/478.11
  6. Step 6: Final answer
    x = 278.53

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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.