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Finding the Fourth Proportional to 500.49, 750.74 and 175.78

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Solution

The fourth proportional to 500.49, 750.74 and 175.78 is: 263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 750.74 = 175.78 : x
  2. Step 2: Convert to fraction form
    500.49/750.74 = 175.78/x
  3. Step 3: Cross multiply
    500.49x = 750.74 × 175.78
  4. Step 4: Simplify right side
    500.49x = 131,965.14
  5. Step 5: Solve for x
    x = 131,965.14/500.49
  6. Step 6: Final answer
    x = 263.67

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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.