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Finding the Fourth Proportional to 499.75, 749.63 and 175.13

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Solution

The fourth proportional to 499.75, 749.63 and 175.13 is: 262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.75 : 749.63 = 175.13 : x
  2. Step 2: Convert to fraction form
    499.75/749.63 = 175.13/x
  3. Step 3: Cross multiply
    499.75x = 749.63 × 175.13
  4. Step 4: Simplify right side
    499.75x = 131,278.08
  5. Step 5: Solve for x
    x = 131,278.08/499.75
  6. Step 6: Final answer
    x = 262.69

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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.