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Finding the Fourth Proportional to 499.58, 749.24 and 174.84

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Solution

The fourth proportional to 499.58, 749.24 and 174.84 is: 262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.58 : 749.24 = 174.84 : x
  2. Step 2: Convert to fraction form
    499.58/749.24 = 174.84/x
  3. Step 3: Cross multiply
    499.58x = 749.24 × 174.84
  4. Step 4: Simplify right side
    499.58x = 130,997.12
  5. Step 5: Solve for x
    x = 130,997.12/499.58
  6. Step 6: Final answer
    x = 262.21

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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.