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Finding the Fourth Proportional to 338.96, 509.28 and 294.08

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Solution

The fourth proportional to 338.96, 509.28 and 294.08 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 509.28 = 294.08 : x
  2. Step 2: Convert to fraction form
    338.96/509.28 = 294.08/x
  3. Step 3: Cross multiply
    338.96x = 509.28 × 294.08
  4. Step 4: Simplify right side
    338.96x = 149,769.06
  5. Step 5: Solve for x
    x = 149,769.06/338.96
  6. Step 6: Final answer
    x = 441.85

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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.