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Finding the Fourth Proportional to 586.89, 879.80 and 261.90

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Solution

The fourth proportional to 586.89, 879.80 and 261.90 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.89 : 879.80 = 261.90 : x
  2. Step 2: Convert to fraction form
    586.89/879.80 = 261.90/x
  3. Step 3: Cross multiply
    586.89x = 879.80 × 261.90
  4. Step 4: Simplify right side
    586.89x = 230,418.31
  5. Step 5: Solve for x
    x = 230,418.31/586.89
  6. Step 6: Final answer
    x = 392.61

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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.