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Finding the Fourth Proportional to 319.91, 441.40 and 214.82

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Solution

The fourth proportional to 319.91, 441.40 and 214.82 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.91 : 441.40 = 214.82 : x
  2. Step 2: Convert to fraction form
    319.91/441.40 = 214.82/x
  3. Step 3: Cross multiply
    319.91x = 441.40 × 214.82
  4. Step 4: Simplify right side
    319.91x = 94,818.27
  5. Step 5: Solve for x
    x = 94,818.27/319.91
  6. Step 6: Final answer
    x = 296.39

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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.