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Finding the Fourth Proportional to 460.06, 690.12 and 213.16

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Solution

The fourth proportional to 460.06, 690.12 and 213.16 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.06 : 690.12 = 213.16 : x
  2. Step 2: Convert to fraction form
    460.06/690.12 = 213.16/x
  3. Step 3: Cross multiply
    460.06x = 690.12 × 213.16
  4. Step 4: Simplify right side
    460.06x = 147,105.98
  5. Step 5: Solve for x
    x = 147,105.98/460.06
  6. Step 6: Final answer
    x = 319.75

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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.