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Finding the Fourth Proportional to 579.87, 870.09 and 271.68

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Solution

The fourth proportional to 579.87, 870.09 and 271.68 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.87 : 870.09 = 271.68 : x
  2. Step 2: Convert to fraction form
    579.87/870.09 = 271.68/x
  3. Step 3: Cross multiply
    579.87x = 870.09 × 271.68
  4. Step 4: Simplify right side
    579.87x = 236,385.74
  5. Step 5: Solve for x
    x = 236,385.74/579.87
  6. Step 6: Final answer
    x = 407.65

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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.