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Finding the Fourth Proportional to 499.66, 749.48 and 175.03

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Solution

The fourth proportional to 499.66, 749.48 and 175.03 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 749.48 = 175.03 : x
  2. Step 2: Convert to fraction form
    499.66/749.48 = 175.03/x
  3. Step 3: Cross multiply
    499.66x = 749.48 × 175.03
  4. Step 4: Simplify right side
    499.66x = 131,178.74
  5. Step 5: Solve for x
    x = 131,178.74/499.66
  6. Step 6: Final answer
    x = 262.54

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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.