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Finding the Fourth Proportional to 294.60, 444.11 and 274.78

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Solution

The fourth proportional to 294.60, 444.11 and 274.78 is: 414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 444.11 = 274.78 : x
  2. Step 2: Convert to fraction form
    294.60/444.11 = 274.78/x
  3. Step 3: Cross multiply
    294.60x = 444.11 × 274.78
  4. Step 4: Simplify right side
    294.60x = 122,030.06
  5. Step 5: Solve for x
    x = 122,030.06/294.60
  6. Step 6: Final answer
    x = 414.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.