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Finding the Fourth Proportional to 338.10, 505.71 and 245.76

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Solution

The fourth proportional to 338.10, 505.71 and 245.76 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 505.71 = 245.76 : x
  2. Step 2: Convert to fraction form
    338.10/505.71 = 245.76/x
  3. Step 3: Cross multiply
    338.10x = 505.71 × 245.76
  4. Step 4: Simplify right side
    338.10x = 124,283.29
  5. Step 5: Solve for x
    x = 124,283.29/338.10
  6. Step 6: Final answer
    x = 367.59

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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.