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Finding the Fourth Proportional to 923.35, 1,385.26 and 274.09

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Solution

The fourth proportional to 923.35, 1,385.26 and 274.09 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.35 : 1,385.26 = 274.09 : x
  2. Step 2: Convert to fraction form
    923.35/1,385.26 = 274.09/x
  3. Step 3: Cross multiply
    923.35x = 1,385.26 × 274.09
  4. Step 4: Simplify right side
    923.35x = 379,681.08
  5. Step 5: Solve for x
    x = 379,681.08/923.35
  6. Step 6: Final answer
    x = 411.20

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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.