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Finding the Fourth Proportional to 537.40, 741.62 and 327.58

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Solution

The fourth proportional to 537.40, 741.62 and 327.58 is: 452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 741.62 = 327.58 : x
  2. Step 2: Convert to fraction form
    537.40/741.62 = 327.58/x
  3. Step 3: Cross multiply
    537.40x = 741.62 × 327.58
  4. Step 4: Simplify right side
    537.40x = 242,936.39
  5. Step 5: Solve for x
    x = 242,936.39/537.40
  6. Step 6: Final answer
    x = 452.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.