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Finding the Fourth Proportional to 390.41, 585.68 and 116.51

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Solution

The fourth proportional to 390.41, 585.68 and 116.51 is: 174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.41 : 585.68 = 116.51 : x
  2. Step 2: Convert to fraction form
    390.41/585.68 = 116.51/x
  3. Step 3: Cross multiply
    390.41x = 585.68 × 116.51
  4. Step 4: Simplify right side
    390.41x = 68,238.46
  5. Step 5: Solve for x
    x = 68,238.46/390.41
  6. Step 6: Final answer
    x = 174.79

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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.