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Finding the Fourth Proportional to 923.01, 1,384.52 and 306.48

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Solution

The fourth proportional to 923.01, 1,384.52 and 306.48 is: 459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.01 : 1,384.52 = 306.48 : x
  2. Step 2: Convert to fraction form
    923.01/1,384.52 = 306.48/x
  3. Step 3: Cross multiply
    923.01x = 1,384.52 × 306.48
  4. Step 4: Simplify right side
    923.01x = 424,326.16
  5. Step 5: Solve for x
    x = 424,326.16/923.01
  6. Step 6: Final answer
    x = 459.72

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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.