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Finding the Fourth Proportional to 537, 741.24 and 371.25

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Solution

The fourth proportional to 537, 741.24 and 371.25 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 741.24 = 371.25 : x
  2. Step 2: Convert to fraction form
    537/741.24 = 371.25/x
  3. Step 3: Cross multiply
    537x = 741.24 × 371.25
  4. Step 4: Simplify right side
    537x = 275,185.35
  5. Step 5: Solve for x
    x = 275,185.35/537
  6. Step 6: Final answer
    x = 512.45

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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.