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Finding the Fourth Proportional to 537.67, 741.99 and 304.80

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Solution

The fourth proportional to 537.67, 741.99 and 304.80 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.67 : 741.99 = 304.80 : x
  2. Step 2: Convert to fraction form
    537.67/741.99 = 304.80/x
  3. Step 3: Cross multiply
    537.67x = 741.99 × 304.80
  4. Step 4: Simplify right side
    537.67x = 226,158.55
  5. Step 5: Solve for x
    x = 226,158.55/537.67
  6. Step 6: Final answer
    x = 420.63

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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.