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Finding the Fourth Proportional to 923.66, 1,385.70 and 274.34

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Solution

The fourth proportional to 923.66, 1,385.70 and 274.34 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.66 : 1,385.70 = 274.34 : x
  2. Step 2: Convert to fraction form
    923.66/1,385.70 = 274.34/x
  3. Step 3: Cross multiply
    923.66x = 1,385.70 × 274.34
  4. Step 4: Simplify right side
    923.66x = 380,152.94
  5. Step 5: Solve for x
    x = 380,152.94/923.66
  6. Step 6: Final answer
    x = 411.57

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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.