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Finding the Fourth Proportional to 477.64, 716.46 and 185.14

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Solution

The fourth proportional to 477.64, 716.46 and 185.14 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.64 : 716.46 = 185.14 : x
  2. Step 2: Convert to fraction form
    477.64/716.46 = 185.14/x
  3. Step 3: Cross multiply
    477.64x = 716.46 × 185.14
  4. Step 4: Simplify right side
    477.64x = 132,645.40
  5. Step 5: Solve for x
    x = 132,645.40/477.64
  6. Step 6: Final answer
    x = 277.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.