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Finding the Fourth Proportional to 380.77, 571.05 and 117.16

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Solution

The fourth proportional to 380.77, 571.05 and 117.16 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 571.05 = 117.16 : x
  2. Step 2: Convert to fraction form
    380.77/571.05 = 117.16/x
  3. Step 3: Cross multiply
    380.77x = 571.05 × 117.16
  4. Step 4: Simplify right side
    380.77x = 66,904.22
  5. Step 5: Solve for x
    x = 66,904.22/380.77
  6. Step 6: Final answer
    x = 175.71

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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.