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Finding the Fourth Proportional to 923.47, 1,384.36 and 337.97

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Solution

The fourth proportional to 923.47, 1,384.36 and 337.97 is: 506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.47 : 1,384.36 = 337.97 : x
  2. Step 2: Convert to fraction form
    923.47/1,384.36 = 337.97/x
  3. Step 3: Cross multiply
    923.47x = 1,384.36 × 337.97
  4. Step 4: Simplify right side
    923.47x = 467,874.77
  5. Step 5: Solve for x
    x = 467,874.77/923.47
  6. Step 6: Final answer
    x = 506.65

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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.