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Finding the Fourth Proportional to 314.94, 434.30 and 213.82

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Solution

The fourth proportional to 314.94, 434.30 and 213.82 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 434.30 = 213.82 : x
  2. Step 2: Convert to fraction form
    314.94/434.30 = 213.82/x
  3. Step 3: Cross multiply
    314.94x = 434.30 × 213.82
  4. Step 4: Simplify right side
    314.94x = 92,862.03
  5. Step 5: Solve for x
    x = 92,862.03/314.94
  6. Step 6: Final answer
    x = 294.86

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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.