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Finding the Fourth Proportional to 581.36, 871.96 and 338

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Solution

The fourth proportional to 581.36, 871.96 and 338 is: 506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 871.96 = 338 : x
  2. Step 2: Convert to fraction form
    581.36/871.96 = 338/x
  3. Step 3: Cross multiply
    581.36x = 871.96 × 338
  4. Step 4: Simplify right side
    581.36x = 294,722.48
  5. Step 5: Solve for x
    x = 294,722.48/581.36
  6. Step 6: Final answer
    x = 506.95

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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.