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Finding the Fourth Proportional to 391.53, 585.99 and 261.22

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Solution

The fourth proportional to 391.53, 585.99 and 261.22 is: 390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.53 : 585.99 = 261.22 : x
  2. Step 2: Convert to fraction form
    391.53/585.99 = 261.22/x
  3. Step 3: Cross multiply
    391.53x = 585.99 × 261.22
  4. Step 4: Simplify right side
    391.53x = 153,071.82
  5. Step 5: Solve for x
    x = 153,071.82/391.53
  6. Step 6: Final answer
    x = 390.96

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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.