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Finding the Fourth Proportional to 333.68, 501.54 and 212.72

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Solution

The fourth proportional to 333.68, 501.54 and 212.72 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 501.54 = 212.72 : x
  2. Step 2: Convert to fraction form
    333.68/501.54 = 212.72/x
  3. Step 3: Cross multiply
    333.68x = 501.54 × 212.72
  4. Step 4: Simplify right side
    333.68x = 106,687.59
  5. Step 5: Solve for x
    x = 106,687.59/333.68
  6. Step 6: Final answer
    x = 319.73

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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.