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Finding the Fourth Proportional to 304.92, 417.78 and 294.54

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Solution

The fourth proportional to 304.92, 417.78 and 294.54 is: 403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 417.78 = 294.54 : x
  2. Step 2: Convert to fraction form
    304.92/417.78 = 294.54/x
  3. Step 3: Cross multiply
    304.92x = 417.78 × 294.54
  4. Step 4: Simplify right side
    304.92x = 123,052.92
  5. Step 5: Solve for x
    x = 123,052.92/304.92
  6. Step 6: Final answer
    x = 403.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.