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Finding the Fourth Proportional to 499.11, 748.25 and 210.51

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Solution

The fourth proportional to 499.11, 748.25 and 210.51 is: 315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.11 : 748.25 = 210.51 : x
  2. Step 2: Convert to fraction form
    499.11/748.25 = 210.51/x
  3. Step 3: Cross multiply
    499.11x = 748.25 × 210.51
  4. Step 4: Simplify right side
    499.11x = 157,513.05
  5. Step 5: Solve for x
    x = 157,513.05/499.11
  6. Step 6: Final answer
    x = 315.59

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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.