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Finding the Fourth Proportional to 537.99, 742.41 and 360.74

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Solution

The fourth proportional to 537.99, 742.41 and 360.74 is: 497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 742.41 = 360.74 : x
  2. Step 2: Convert to fraction form
    537.99/742.41 = 360.74/x
  3. Step 3: Cross multiply
    537.99x = 742.41 × 360.74
  4. Step 4: Simplify right side
    537.99x = 267,813.27
  5. Step 5: Solve for x
    x = 267,813.27/537.99
  6. Step 6: Final answer
    x = 497.80

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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.