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Finding the Fourth Proportional to 293.31, 439.74 and 201.74

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Solution

The fourth proportional to 293.31, 439.74 and 201.74 is: 302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.31 : 439.74 = 201.74 : x
  2. Step 2: Convert to fraction form
    293.31/439.74 = 201.74/x
  3. Step 3: Cross multiply
    293.31x = 439.74 × 201.74
  4. Step 4: Simplify right side
    293.31x = 88,710.95
  5. Step 5: Solve for x
    x = 88,710.95/293.31
  6. Step 6: Final answer
    x = 302.45

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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.