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Finding the Fourth Proportional to 586.57, 879.06 and 326.68

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Solution

The fourth proportional to 586.57, 879.06 and 326.68 is: 489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.57 : 879.06 = 326.68 : x
  2. Step 2: Convert to fraction form
    586.57/879.06 = 326.68/x
  3. Step 3: Cross multiply
    586.57x = 879.06 × 326.68
  4. Step 4: Simplify right side
    586.57x = 287,171.32
  5. Step 5: Solve for x
    x = 287,171.32/586.57
  6. Step 6: Final answer
    x = 489.58

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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.