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Finding the Fourth Proportional to 500.48, 754.82 and 495.02

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Solution

The fourth proportional to 500.48, 754.82 and 495.02 is: 746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.48 : 754.82 = 495.02 : x
  2. Step 2: Convert to fraction form
    500.48/754.82 = 495.02/x
  3. Step 3: Cross multiply
    500.48x = 754.82 × 495.02
  4. Step 4: Simplify right side
    500.48x = 373,651.00
  5. Step 5: Solve for x
    x = 373,651.00/500.48
  6. Step 6: Final answer
    x = 746.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.