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Finding the Fourth Proportional to 923.82, 1,385.72 and 274.56

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Solution

The fourth proportional to 923.82, 1,385.72 and 274.56 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.82 : 1,385.72 = 274.56 : x
  2. Step 2: Convert to fraction form
    923.82/1,385.72 = 274.56/x
  3. Step 3: Cross multiply
    923.82x = 1,385.72 × 274.56
  4. Step 4: Simplify right side
    923.82x = 380,463.28
  5. Step 5: Solve for x
    x = 380,463.28/923.82
  6. Step 6: Final answer
    x = 411.84

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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.