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Finding the Fourth Proportional to 294.96, 440.19 and 262.56

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Solution

The fourth proportional to 294.96, 440.19 and 262.56 is: 391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 440.19 = 262.56 : x
  2. Step 2: Convert to fraction form
    294.96/440.19 = 262.56/x
  3. Step 3: Cross multiply
    294.96x = 440.19 × 262.56
  4. Step 4: Simplify right side
    294.96x = 115,576.29
  5. Step 5: Solve for x
    x = 115,576.29/294.96
  6. Step 6: Final answer
    x = 391.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.