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Finding the Fourth Proportional to 585.54, 878.37 and 238.80

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Solution

The fourth proportional to 585.54, 878.37 and 238.80 is: 358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.54 : 878.37 = 238.80 : x
  2. Step 2: Convert to fraction form
    585.54/878.37 = 238.80/x
  3. Step 3: Cross multiply
    585.54x = 878.37 × 238.80
  4. Step 4: Simplify right side
    585.54x = 209,754.76
  5. Step 5: Solve for x
    x = 209,754.76/585.54
  6. Step 6: Final answer
    x = 358.22

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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.