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Finding the Fourth Proportional to 586.18, 879.27 and 257.44

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Solution

The fourth proportional to 586.18, 879.27 and 257.44 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.18 : 879.27 = 257.44 : x
  2. Step 2: Convert to fraction form
    586.18/879.27 = 257.44/x
  3. Step 3: Cross multiply
    586.18x = 879.27 × 257.44
  4. Step 4: Simplify right side
    586.18x = 226,359.27
  5. Step 5: Solve for x
    x = 226,359.27/586.18
  6. Step 6: Final answer
    x = 386.16

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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.