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Finding the Fourth Proportional to 580.29, 870.72 and 272.13

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Solution

The fourth proportional to 580.29, 870.72 and 272.13 is: 408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.29 : 870.72 = 272.13 : x
  2. Step 2: Convert to fraction form
    580.29/870.72 = 272.13/x
  3. Step 3: Cross multiply
    580.29x = 870.72 × 272.13
  4. Step 4: Simplify right side
    580.29x = 236,949.03
  5. Step 5: Solve for x
    x = 236,949.03/580.29
  6. Step 6: Final answer
    x = 408.33

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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.