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Finding the Fourth Proportional to 918.77, 1,377.66 and 293.88

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Solution

The fourth proportional to 918.77, 1,377.66 and 293.88 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.77 : 1,377.66 = 293.88 : x
  2. Step 2: Convert to fraction form
    918.77/1,377.66 = 293.88/x
  3. Step 3: Cross multiply
    918.77x = 1,377.66 × 293.88
  4. Step 4: Simplify right side
    918.77x = 404,863.59
  5. Step 5: Solve for x
    x = 404,863.59/918.77
  6. Step 6: Final answer
    x = 440.66

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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.