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Finding the Fourth Proportional to 923.09, 1,384.72 and 306.80

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Solution

The fourth proportional to 923.09, 1,384.72 and 306.80 is: 460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.09 : 1,384.72 = 306.80 : x
  2. Step 2: Convert to fraction form
    923.09/1,384.72 = 306.80/x
  3. Step 3: Cross multiply
    923.09x = 1,384.72 × 306.80
  4. Step 4: Simplify right side
    923.09x = 424,830.56
  5. Step 5: Solve for x
    x = 424,830.56/923.09
  6. Step 6: Final answer
    x = 460.23

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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.