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Finding the Fourth Proportional to 334.80, 501.84 and 213.32

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Solution

The fourth proportional to 334.80, 501.84 and 213.32 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 501.84 = 213.32 : x
  2. Step 2: Convert to fraction form
    334.80/501.84 = 213.32/x
  3. Step 3: Cross multiply
    334.80x = 501.84 × 213.32
  4. Step 4: Simplify right side
    334.80x = 107,052.51
  5. Step 5: Solve for x
    x = 107,052.51/334.80
  6. Step 6: Final answer
    x = 319.75

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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.