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Finding the Fourth Proportional to 334.82, 501.77 and 213.17

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Solution

The fourth proportional to 334.82, 501.77 and 213.17 is: 319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.82 : 501.77 = 213.17 : x
  2. Step 2: Convert to fraction form
    334.82/501.77 = 213.17/x
  3. Step 3: Cross multiply
    334.82x = 501.77 × 213.17
  4. Step 4: Simplify right side
    334.82x = 106,962.31
  5. Step 5: Solve for x
    x = 106,962.31/334.82
  6. Step 6: Final answer
    x = 319.46

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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.