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Finding the Fourth Proportional to 504.73, 752.23 and 500.48

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Solution

The fourth proportional to 504.73, 752.23 and 500.48 is: 745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 752.23 = 500.48 : x
  2. Step 2: Convert to fraction form
    504.73/752.23 = 500.48/x
  3. Step 3: Cross multiply
    504.73x = 752.23 × 500.48
  4. Step 4: Simplify right side
    504.73x = 376,469.81
  5. Step 5: Solve for x
    x = 376,469.81/504.73
  6. Step 6: Final answer
    x = 745.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.