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Finding the Fourth Proportional to 477.44, 716.18 and 185.08

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Solution

The fourth proportional to 477.44, 716.18 and 185.08 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.44 : 716.18 = 185.08 : x
  2. Step 2: Convert to fraction form
    477.44/716.18 = 185.08/x
  3. Step 3: Cross multiply
    477.44x = 716.18 × 185.08
  4. Step 4: Simplify right side
    477.44x = 132,550.59
  5. Step 5: Solve for x
    x = 132,550.59/477.44
  6. Step 6: Final answer
    x = 277.63

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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.