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Finding the Fourth Proportional to 501.12, 749.52 and 496.80

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Solution

The fourth proportional to 501.12, 749.52 and 496.80 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 749.52 = 496.80 : x
  2. Step 2: Convert to fraction form
    501.12/749.52 = 496.80/x
  3. Step 3: Cross multiply
    501.12x = 749.52 × 496.80
  4. Step 4: Simplify right side
    501.12x = 372,361.54
  5. Step 5: Solve for x
    x = 372,361.54/501.12
  6. Step 6: Final answer
    x = 743.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.