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Finding the Fourth Proportional to 537.00, 740.73 and 327.07

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Solution

The fourth proportional to 537.00, 740.73 and 327.07 is: 451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.00 : 740.73 = 327.07 : x
  2. Step 2: Convert to fraction form
    537.00/740.73 = 327.07/x
  3. Step 3: Cross multiply
    537.00x = 740.73 × 327.07
  4. Step 4: Simplify right side
    537.00x = 242,270.87
  5. Step 5: Solve for x
    x = 242,270.87/537.00
  6. Step 6: Final answer
    x = 451.16

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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.