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Finding the Fourth Proportional to 923.41, 1,384.33 and 306.96

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Solution

The fourth proportional to 923.41, 1,384.33 and 306.96 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.41 : 1,384.33 = 306.96 : x
  2. Step 2: Convert to fraction form
    923.41/1,384.33 = 306.96/x
  3. Step 3: Cross multiply
    923.41x = 1,384.33 × 306.96
  4. Step 4: Simplify right side
    923.41x = 424,933.94
  5. Step 5: Solve for x
    x = 424,933.94/923.41
  6. Step 6: Final answer
    x = 460.18

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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.