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Finding the Fourth Proportional to 923.45, 1,385.40 and 274.19

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Solution

The fourth proportional to 923.45, 1,385.40 and 274.19 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.45 : 1,385.40 = 274.19 : x
  2. Step 2: Convert to fraction form
    923.45/1,385.40 = 274.19/x
  3. Step 3: Cross multiply
    923.45x = 1,385.40 × 274.19
  4. Step 4: Simplify right side
    923.45x = 379,856.16
  5. Step 5: Solve for x
    x = 379,856.16/923.45
  6. Step 6: Final answer
    x = 411.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.