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Finding the Fourth Proportional to 585.09, 878.58 and 342.09

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Solution

The fourth proportional to 585.09, 878.58 and 342.09 is: 513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 878.58 = 342.09 : x
  2. Step 2: Convert to fraction form
    585.09/878.58 = 342.09/x
  3. Step 3: Cross multiply
    585.09x = 878.58 × 342.09
  4. Step 4: Simplify right side
    585.09x = 300,553.43
  5. Step 5: Solve for x
    x = 300,553.43/585.09
  6. Step 6: Final answer
    x = 513.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.