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Finding the Fourth Proportional to 500.19, 749.78 and 175.29

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Solution

The fourth proportional to 500.19, 749.78 and 175.29 is: 262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.19 : 749.78 = 175.29 : x
  2. Step 2: Convert to fraction form
    500.19/749.78 = 175.29/x
  3. Step 3: Cross multiply
    500.19x = 749.78 × 175.29
  4. Step 4: Simplify right side
    500.19x = 131,428.06
  5. Step 5: Solve for x
    x = 131,428.06/500.19
  6. Step 6: Final answer
    x = 262.76

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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.