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Finding the Fourth Proportional to 332.11, 500.05 and 293.83

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Solution

The fourth proportional to 332.11, 500.05 and 293.83 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.11 : 500.05 = 293.83 : x
  2. Step 2: Convert to fraction form
    332.11/500.05 = 293.83/x
  3. Step 3: Cross multiply
    332.11x = 500.05 × 293.83
  4. Step 4: Simplify right side
    332.11x = 146,929.69
  5. Step 5: Solve for x
    x = 146,929.69/332.11
  6. Step 6: Final answer
    x = 442.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.