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Finding the Fourth Proportional to 923.10, 1,384.29 and 306.42

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Solution

The fourth proportional to 923.10, 1,384.29 and 306.42 is: 459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.10 : 1,384.29 = 306.42 : x
  2. Step 2: Convert to fraction form
    923.10/1,384.29 = 306.42/x
  3. Step 3: Cross multiply
    923.10x = 1,384.29 × 306.42
  4. Step 4: Simplify right side
    923.10x = 424,174.14
  5. Step 5: Solve for x
    x = 424,174.14/923.10
  6. Step 6: Final answer
    x = 459.51

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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.