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Finding the Fourth Proportional to 499.22, 748.62 and 210.50

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Solution

The fourth proportional to 499.22, 748.62 and 210.50 is: 315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 748.62 = 210.50 : x
  2. Step 2: Convert to fraction form
    499.22/748.62 = 210.50/x
  3. Step 3: Cross multiply
    499.22x = 748.62 × 210.50
  4. Step 4: Simplify right side
    499.22x = 157,584.51
  5. Step 5: Solve for x
    x = 157,584.51/499.22
  6. Step 6: Final answer
    x = 315.66

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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.