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Finding the Fourth Proportional to 333.44, 502.94 and 293.36

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Solution

The fourth proportional to 333.44, 502.94 and 293.36 is: 442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.44 : 502.94 = 293.36 : x
  2. Step 2: Convert to fraction form
    333.44/502.94 = 293.36/x
  3. Step 3: Cross multiply
    333.44x = 502.94 × 293.36
  4. Step 4: Simplify right side
    333.44x = 147,542.48
  5. Step 5: Solve for x
    x = 147,542.48/333.44
  6. Step 6: Final answer
    x = 442.49

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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.