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Finding the Fourth Proportional to 580.92, 872.34 and 337.08

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Solution

The fourth proportional to 580.92, 872.34 and 337.08 is: 506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 872.34 = 337.08 : x
  2. Step 2: Convert to fraction form
    580.92/872.34 = 337.08/x
  3. Step 3: Cross multiply
    580.92x = 872.34 × 337.08
  4. Step 4: Simplify right side
    580.92x = 294,048.37
  5. Step 5: Solve for x
    x = 294,048.37/580.92
  6. Step 6: Final answer
    x = 506.18

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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.