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Finding the Fourth Proportional to 301, 415.49 and 213.52

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Solution

The fourth proportional to 301, 415.49 and 213.52 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 415.49 = 213.52 : x
  2. Step 2: Convert to fraction form
    301/415.49 = 213.52/x
  3. Step 3: Cross multiply
    301x = 415.49 × 213.52
  4. Step 4: Simplify right side
    301x = 88,715.42
  5. Step 5: Solve for x
    x = 88,715.42/301
  6. Step 6: Final answer
    x = 294.74

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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.