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Finding the Fourth Proportional to 415.77, 576.50 and 393.90

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Solution

The fourth proportional to 415.77, 576.50 and 393.90 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 576.50 = 393.90 : x
  2. Step 2: Convert to fraction form
    415.77/576.50 = 393.90/x
  3. Step 3: Cross multiply
    415.77x = 576.50 × 393.90
  4. Step 4: Simplify right side
    415.77x = 227,081.38
  5. Step 5: Solve for x
    x = 227,081.38/415.77
  6. Step 6: Final answer
    x = 546.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.