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Finding the Fourth Proportional to 293.83, 439.66 and 211.57

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Solution

The fourth proportional to 293.83, 439.66 and 211.57 is: 316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.83 : 439.66 = 211.57 : x
  2. Step 2: Convert to fraction form
    293.83/439.66 = 211.57/x
  3. Step 3: Cross multiply
    293.83x = 439.66 × 211.57
  4. Step 4: Simplify right side
    293.83x = 93,018.87
  5. Step 5: Solve for x
    x = 93,018.87/293.83
  6. Step 6: Final answer
    x = 316.57

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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.