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Finding the Fourth Proportional to 477.77, 716.04 and 185.04

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Solution

The fourth proportional to 477.77, 716.04 and 185.04 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 716.04 = 185.04 : x
  2. Step 2: Convert to fraction form
    477.77/716.04 = 185.04/x
  3. Step 3: Cross multiply
    477.77x = 716.04 × 185.04
  4. Step 4: Simplify right side
    477.77x = 132,496.04
  5. Step 5: Solve for x
    x = 132,496.04/477.77
  6. Step 6: Final answer
    x = 277.32

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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.