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Finding the Fourth Proportional to 338.42, 465.92 and 294.75

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Solution

The fourth proportional to 338.42, 465.92 and 294.75 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 465.92 = 294.75 : x
  2. Step 2: Convert to fraction form
    338.42/465.92 = 294.75/x
  3. Step 3: Cross multiply
    338.42x = 465.92 × 294.75
  4. Step 4: Simplify right side
    338.42x = 137,328.45
  5. Step 5: Solve for x
    x = 137,328.45/338.42
  6. Step 6: Final answer
    x = 405.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.