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Finding the Fourth Proportional to 338.44, 507.66 and 277.48

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Solution

The fourth proportional to 338.44, 507.66 and 277.48 is: 416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 507.66 = 277.48 : x
  2. Step 2: Convert to fraction form
    338.44/507.66 = 277.48/x
  3. Step 3: Cross multiply
    338.44x = 507.66 × 277.48
  4. Step 4: Simplify right side
    338.44x = 140,865.50
  5. Step 5: Solve for x
    x = 140,865.50/338.44
  6. Step 6: Final answer
    x = 416.22

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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.