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Finding the Fourth Proportional to 460.11, 689.30 and 213.52

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Solution

The fourth proportional to 460.11, 689.30 and 213.52 is: 319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.11 : 689.30 = 213.52 : x
  2. Step 2: Convert to fraction form
    460.11/689.30 = 213.52/x
  3. Step 3: Cross multiply
    460.11x = 689.30 × 213.52
  4. Step 4: Simplify right side
    460.11x = 147,178.64
  5. Step 5: Solve for x
    x = 147,178.64/460.11
  6. Step 6: Final answer
    x = 319.87

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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.