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Finding the Fourth Proportional to 390.39, 585.67 and 173.97

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Solution

The fourth proportional to 390.39, 585.67 and 173.97 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.39 : 585.67 = 173.97 : x
  2. Step 2: Convert to fraction form
    390.39/585.67 = 173.97/x
  3. Step 3: Cross multiply
    390.39x = 585.67 × 173.97
  4. Step 4: Simplify right side
    390.39x = 101,886.08
  5. Step 5: Solve for x
    x = 101,886.08/390.39
  6. Step 6: Final answer
    x = 260.99

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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.