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Finding the Fourth Proportional to 539.53, 744.53 and 303.46

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Solution

The fourth proportional to 539.53, 744.53 and 303.46 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.53 : 744.53 = 303.46 : x
  2. Step 2: Convert to fraction form
    539.53/744.53 = 303.46/x
  3. Step 3: Cross multiply
    539.53x = 744.53 × 303.46
  4. Step 4: Simplify right side
    539.53x = 225,931.70
  5. Step 5: Solve for x
    x = 225,931.70/539.53
  6. Step 6: Final answer
    x = 418.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.