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Finding the Fourth Proportional to 537.89, 807.04 and 249.13

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Solution

The fourth proportional to 537.89, 807.04 and 249.13 is: 373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.89 : 807.04 = 249.13 : x
  2. Step 2: Convert to fraction form
    537.89/807.04 = 249.13/x
  3. Step 3: Cross multiply
    537.89x = 807.04 × 249.13
  4. Step 4: Simplify right side
    537.89x = 201,053.84
  5. Step 5: Solve for x
    x = 201,053.84/537.89
  6. Step 6: Final answer
    x = 373.78

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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.