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Finding the Fourth Proportional to 338.43, 507.46 and 175.71

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Solution

The fourth proportional to 338.43, 507.46 and 175.71 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.43 : 507.46 = 175.71 : x
  2. Step 2: Convert to fraction form
    338.43/507.46 = 175.71/x
  3. Step 3: Cross multiply
    338.43x = 507.46 × 175.71
  4. Step 4: Simplify right side
    338.43x = 89,165.80
  5. Step 5: Solve for x
    x = 89,165.80/338.43
  6. Step 6: Final answer
    x = 263.47

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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.