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Finding the Fourth Proportional to 537.69, 741.51 and 371.64

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Solution

The fourth proportional to 537.69, 741.51 and 371.64 is: 512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 741.51 = 371.64 : x
  2. Step 2: Convert to fraction form
    537.69/741.51 = 371.64/x
  3. Step 3: Cross multiply
    537.69x = 741.51 × 371.64
  4. Step 4: Simplify right side
    537.69x = 275,574.78
  5. Step 5: Solve for x
    x = 275,574.78/537.69
  6. Step 6: Final answer
    x = 512.52

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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.