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Finding the Fourth Proportional to 314.94, 472.82 and 212.68

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Solution

The fourth proportional to 314.94, 472.82 and 212.68 is: 319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 472.82 = 212.68 : x
  2. Step 2: Convert to fraction form
    314.94/472.82 = 212.68/x
  3. Step 3: Cross multiply
    314.94x = 472.82 × 212.68
  4. Step 4: Simplify right side
    314.94x = 100,559.36
  5. Step 5: Solve for x
    x = 100,559.36/314.94
  6. Step 6: Final answer
    x = 319.30

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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.