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Finding the Fourth Proportional to 303.52, 418.80 and 293.44

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Solution

The fourth proportional to 303.52, 418.80 and 293.44 is: 404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 418.80 = 293.44 : x
  2. Step 2: Convert to fraction form
    303.52/418.80 = 293.44/x
  3. Step 3: Cross multiply
    303.52x = 418.80 × 293.44
  4. Step 4: Simplify right side
    303.52x = 122,892.67
  5. Step 5: Solve for x
    x = 122,892.67/303.52
  6. Step 6: Final answer
    x = 404.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.