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Finding the Fourth Proportional to 334.64, 502.76 and 213.14

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Solution

The fourth proportional to 334.64, 502.76 and 213.14 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.64 : 502.76 = 213.14 : x
  2. Step 2: Convert to fraction form
    334.64/502.76 = 213.14/x
  3. Step 3: Cross multiply
    334.64x = 502.76 × 213.14
  4. Step 4: Simplify right side
    334.64x = 107,156.29
  5. Step 5: Solve for x
    x = 107,156.29/334.64
  6. Step 6: Final answer
    x = 320.22

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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.