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Finding the Fourth Proportional to 338.44, 507.76 and 194.28

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Solution

The fourth proportional to 338.44, 507.76 and 194.28 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 507.76 = 194.28 : x
  2. Step 2: Convert to fraction form
    338.44/507.76 = 194.28/x
  3. Step 3: Cross multiply
    338.44x = 507.76 × 194.28
  4. Step 4: Simplify right side
    338.44x = 98,647.61
  5. Step 5: Solve for x
    x = 98,647.61/338.44
  6. Step 6: Final answer
    x = 291.48

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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.