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Finding the Fourth Proportional to 585.90, 878.67 and 342.54

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Solution

The fourth proportional to 585.90, 878.67 and 342.54 is: 513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 878.67 = 342.54 : x
  2. Step 2: Convert to fraction form
    585.90/878.67 = 342.54/x
  3. Step 3: Cross multiply
    585.90x = 878.67 × 342.54
  4. Step 4: Simplify right side
    585.90x = 300,979.62
  5. Step 5: Solve for x
    x = 300,979.62/585.90
  6. Step 6: Final answer
    x = 513.70

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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.