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Finding the Fourth Proportional to 334.13, 500.81 and 209.10

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Solution

The fourth proportional to 334.13, 500.81 and 209.10 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 500.81 = 209.10 : x
  2. Step 2: Convert to fraction form
    334.13/500.81 = 209.10/x
  3. Step 3: Cross multiply
    334.13x = 500.81 × 209.10
  4. Step 4: Simplify right side
    334.13x = 104,720.10
  5. Step 5: Solve for x
    x = 104,720.10/334.13
  6. Step 6: Final answer
    x = 313.41

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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.