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Finding the Fourth Proportional to 337.92, 507.23 and 214.66

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Solution

The fourth proportional to 337.92, 507.23 and 214.66 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 507.23 = 214.66 : x
  2. Step 2: Convert to fraction form
    337.92/507.23 = 214.66/x
  3. Step 3: Cross multiply
    337.92x = 507.23 × 214.66
  4. Step 4: Simplify right side
    337.92x = 108,882.36
  5. Step 5: Solve for x
    x = 108,882.36/337.92
  6. Step 6: Final answer
    x = 322.22

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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.