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Finding the Fourth Proportional to 338.40, 507.59 and 261.84

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Solution

The fourth proportional to 338.40, 507.59 and 261.84 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 507.59 = 261.84 : x
  2. Step 2: Convert to fraction form
    338.40/507.59 = 261.84/x
  3. Step 3: Cross multiply
    338.40x = 507.59 × 261.84
  4. Step 4: Simplify right side
    338.40x = 132,907.37
  5. Step 5: Solve for x
    x = 132,907.37/338.40
  6. Step 6: Final answer
    x = 392.75

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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.