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Finding the Fourth Proportional to 585.80, 879.06 and 261.44

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Solution

The fourth proportional to 585.80, 879.06 and 261.44 is: 392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.80 : 879.06 = 261.44 : x
  2. Step 2: Convert to fraction form
    585.80/879.06 = 261.44/x
  3. Step 3: Cross multiply
    585.80x = 879.06 × 261.44
  4. Step 4: Simplify right side
    585.80x = 229,821.45
  5. Step 5: Solve for x
    x = 229,821.45/585.80
  6. Step 6: Final answer
    x = 392.32

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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.