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Finding the Fourth Proportional to 363.83, 501.46 and 293.63

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Solution

The fourth proportional to 363.83, 501.46 and 293.63 is: 404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.83 : 501.46 = 293.63 : x
  2. Step 2: Convert to fraction form
    363.83/501.46 = 293.63/x
  3. Step 3: Cross multiply
    363.83x = 501.46 × 293.63
  4. Step 4: Simplify right side
    363.83x = 147,240.46
  5. Step 5: Solve for x
    x = 147,240.46/363.83
  6. Step 6: Final answer
    x = 404.70

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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.