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Finding the Fourth Proportional to 939.83, 1,409.54 and 323.48

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Solution

The fourth proportional to 939.83, 1,409.54 and 323.48 is: 485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.83 : 1,409.54 = 323.48 : x
  2. Step 2: Convert to fraction form
    939.83/1,409.54 = 323.48/x
  3. Step 3: Cross multiply
    939.83x = 1,409.54 × 323.48
  4. Step 4: Simplify right side
    939.83x = 455,959.91
  5. Step 5: Solve for x
    x = 455,959.91/939.83
  6. Step 6: Final answer
    x = 485.15

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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.