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Finding the Fourth Proportional to 580.27, 870.75 and 233.55

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Solution

The fourth proportional to 580.27, 870.75 and 233.55 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.27 : 870.75 = 233.55 : x
  2. Step 2: Convert to fraction form
    580.27/870.75 = 233.55/x
  3. Step 3: Cross multiply
    580.27x = 870.75 × 233.55
  4. Step 4: Simplify right side
    580.27x = 203,363.66
  5. Step 5: Solve for x
    x = 203,363.66/580.27
  6. Step 6: Final answer
    x = 350.46

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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.