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Finding the Fourth Proportional to 923.41, 1,385.33 and 338.41

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Solution

The fourth proportional to 923.41, 1,385.33 and 338.41 is: 507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.41 : 1,385.33 = 338.41 : x
  2. Step 2: Convert to fraction form
    923.41/1,385.33 = 338.41/x
  3. Step 3: Cross multiply
    923.41x = 1,385.33 × 338.41
  4. Step 4: Simplify right side
    923.41x = 468,809.53
  5. Step 5: Solve for x
    x = 468,809.53/923.41
  6. Step 6: Final answer
    x = 507.69

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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.