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Finding the Fourth Proportional to 338.42, 507.10 and 261.57

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Solution

The fourth proportional to 338.42, 507.10 and 261.57 is: 391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 507.10 = 261.57 : x
  2. Step 2: Convert to fraction form
    338.42/507.10 = 261.57/x
  3. Step 3: Cross multiply
    338.42x = 507.10 × 261.57
  4. Step 4: Simplify right side
    338.42x = 132,642.93
  5. Step 5: Solve for x
    x = 132,642.93/338.42
  6. Step 6: Final answer
    x = 391.95

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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.