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Finding the Fourth Proportional to 294.46, 440.90 and 257.56

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Solution

The fourth proportional to 294.46, 440.90 and 257.56 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 440.90 = 257.56 : x
  2. Step 2: Convert to fraction form
    294.46/440.90 = 257.56/x
  3. Step 3: Cross multiply
    294.46x = 440.90 × 257.56
  4. Step 4: Simplify right side
    294.46x = 113,558.20
  5. Step 5: Solve for x
    x = 113,558.20/294.46
  6. Step 6: Final answer
    x = 385.65

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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.