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Finding the Fourth Proportional to 333.47, 499.29 and 252.07

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Solution

The fourth proportional to 333.47, 499.29 and 252.07 is: 377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.47 : 499.29 = 252.07 : x
  2. Step 2: Convert to fraction form
    333.47/499.29 = 252.07/x
  3. Step 3: Cross multiply
    333.47x = 499.29 × 252.07
  4. Step 4: Simplify right side
    333.47x = 125,856.03
  5. Step 5: Solve for x
    x = 125,856.03/333.47
  6. Step 6: Final answer
    x = 377.41

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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.