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Finding the Fourth Proportional to 309.08, 465.35 and 213.52

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Solution

The fourth proportional to 309.08, 465.35 and 213.52 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 465.35 = 213.52 : x
  2. Step 2: Convert to fraction form
    309.08/465.35 = 213.52/x
  3. Step 3: Cross multiply
    309.08x = 465.35 × 213.52
  4. Step 4: Simplify right side
    309.08x = 99,361.53
  5. Step 5: Solve for x
    x = 99,361.53/309.08
  6. Step 6: Final answer
    x = 321.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.