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Finding the Fourth Proportional to 923.07, 1,384.07 and 306.61

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Solution

The fourth proportional to 923.07, 1,384.07 and 306.61 is: 459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.07 : 1,384.07 = 306.61 : x
  2. Step 2: Convert to fraction form
    923.07/1,384.07 = 306.61/x
  3. Step 3: Cross multiply
    923.07x = 1,384.07 × 306.61
  4. Step 4: Simplify right side
    923.07x = 424,364.71
  5. Step 5: Solve for x
    x = 424,364.71/923.07
  6. Step 6: Final answer
    x = 459.73

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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.