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Finding the Fourth Proportional to 500.48, 750.84 and 175.85

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Solution

The fourth proportional to 500.48, 750.84 and 175.85 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 750.84 = 175.85 : x
  2. Step 2: Convert to fraction form
    500.48/750.84 = 175.85/x
  3. Step 3: Cross multiply
    500.48x = 750.84 × 175.85
  4. Step 4: Simplify right side
    500.48x = 132,035.21
  5. Step 5: Solve for x
    x = 132,035.21/500.48
  6. Step 6: Final answer
    x = 263.82

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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.