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Finding the Fourth Proportional to 580.71, 870.96 and 272.73

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Solution

The fourth proportional to 580.71, 870.96 and 272.73 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.71 : 870.96 = 272.73 : x
  2. Step 2: Convert to fraction form
    580.71/870.96 = 272.73/x
  3. Step 3: Cross multiply
    580.71x = 870.96 × 272.73
  4. Step 4: Simplify right side
    580.71x = 237,536.92
  5. Step 5: Solve for x
    x = 237,536.92/580.71
  6. Step 6: Final answer
    x = 409.05

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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.