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Finding the Fourth Proportional to 499.76, 749.78 and 175.16

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Solution

The fourth proportional to 499.76, 749.78 and 175.16 is: 262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 749.78 = 175.16 : x
  2. Step 2: Convert to fraction form
    499.76/749.78 = 175.16/x
  3. Step 3: Cross multiply
    499.76x = 749.78 × 175.16
  4. Step 4: Simplify right side
    499.76x = 131,331.46
  5. Step 5: Solve for x
    x = 131,331.46/499.76
  6. Step 6: Final answer
    x = 262.79

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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.