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Finding the Fourth Proportional to 586, 879 and 329.52

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Solution

The fourth proportional to 586, 879 and 329.52 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 879 = 329.52 : x
  2. Step 2: Convert to fraction form
    586/879 = 329.52/x
  3. Step 3: Cross multiply
    586x = 879 × 329.52
  4. Step 4: Simplify right side
    586x = 289,648.08
  5. Step 5: Solve for x
    x = 289,648.08/586
  6. Step 6: Final answer
    x = 494.28

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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.