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Finding the Fourth Proportional to 338.84, 507.92 and 270.48

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Solution

The fourth proportional to 338.84, 507.92 and 270.48 is: 405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.84 : 507.92 = 270.48 : x
  2. Step 2: Convert to fraction form
    338.84/507.92 = 270.48/x
  3. Step 3: Cross multiply
    338.84x = 507.92 × 270.48
  4. Step 4: Simplify right side
    338.84x = 137,382.20
  5. Step 5: Solve for x
    x = 137,382.20/338.84
  6. Step 6: Final answer
    x = 405.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.