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Finding the Fourth Proportional to 500.25, 750.33 and 175.62

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Solution

The fourth proportional to 500.25, 750.33 and 175.62 is: 263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 750.33 = 175.62 : x
  2. Step 2: Convert to fraction form
    500.25/750.33 = 175.62/x
  3. Step 3: Cross multiply
    500.25x = 750.33 × 175.62
  4. Step 4: Simplify right side
    500.25x = 131,772.95
  5. Step 5: Solve for x
    x = 131,772.95/500.25
  6. Step 6: Final answer
    x = 263.41

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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.