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Finding the Fourth Proportional to 938.33, 1,407.60 and 321.86

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Solution

The fourth proportional to 938.33, 1,407.60 and 321.86 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.33 : 1,407.60 = 321.86 : x
  2. Step 2: Convert to fraction form
    938.33/1,407.60 = 321.86/x
  3. Step 3: Cross multiply
    938.33x = 1,407.60 × 321.86
  4. Step 4: Simplify right side
    938.33x = 453,043.10
  5. Step 5: Solve for x
    x = 453,043.10/938.33
  6. Step 6: Final answer
    x = 482.82

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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.