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Finding the Fourth Proportional to 334.68, 503.04 and 213.72

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Solution

The fourth proportional to 334.68, 503.04 and 213.72 is: 321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.68 : 503.04 = 213.72 : x
  2. Step 2: Convert to fraction form
    334.68/503.04 = 213.72/x
  3. Step 3: Cross multiply
    334.68x = 503.04 × 213.72
  4. Step 4: Simplify right side
    334.68x = 107,509.71
  5. Step 5: Solve for x
    x = 107,509.71/334.68
  6. Step 6: Final answer
    x = 321.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.