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Finding the Fourth Proportional to 586.10, 879.26 and 261.46

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Solution

The fourth proportional to 586.10, 879.26 and 261.46 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.10 : 879.26 = 261.46 : x
  2. Step 2: Convert to fraction form
    586.10/879.26 = 261.46/x
  3. Step 3: Cross multiply
    586.10x = 879.26 × 261.46
  4. Step 4: Simplify right side
    586.10x = 229,891.32
  5. Step 5: Solve for x
    x = 229,891.32/586.10
  6. Step 6: Final answer
    x = 392.24

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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.