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Finding the Fourth Proportional to 316.59, 437.07 and 211.83

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Solution

The fourth proportional to 316.59, 437.07 and 211.83 is: 292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.59 : 437.07 = 211.83 : x
  2. Step 2: Convert to fraction form
    316.59/437.07 = 211.83/x
  3. Step 3: Cross multiply
    316.59x = 437.07 × 211.83
  4. Step 4: Simplify right side
    316.59x = 92,584.54
  5. Step 5: Solve for x
    x = 92,584.54/316.59
  6. Step 6: Final answer
    x = 292.44

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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.