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Finding the Fourth Proportional to 537.09, 741.80 and 359.75

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Solution

The fourth proportional to 537.09, 741.80 and 359.75 is: 496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 741.80 = 359.75 : x
  2. Step 2: Convert to fraction form
    537.09/741.80 = 359.75/x
  3. Step 3: Cross multiply
    537.09x = 741.80 × 359.75
  4. Step 4: Simplify right side
    537.09x = 266,862.55
  5. Step 5: Solve for x
    x = 266,862.55/537.09
  6. Step 6: Final answer
    x = 496.87

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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.