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Finding the Fourth Proportional to 337.45, 465.37 and 213.07

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Solution

The fourth proportional to 337.45, 465.37 and 213.07 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.45 : 465.37 = 213.07 : x
  2. Step 2: Convert to fraction form
    337.45/465.37 = 213.07/x
  3. Step 3: Cross multiply
    337.45x = 465.37 × 213.07
  4. Step 4: Simplify right side
    337.45x = 99,156.39
  5. Step 5: Solve for x
    x = 99,156.39/337.45
  6. Step 6: Final answer
    x = 293.84

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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.