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Finding the Fourth Proportional to 537.00, 741.05 and 300.93

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Solution

The fourth proportional to 537.00, 741.05 and 300.93 is: 415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.00 : 741.05 = 300.93 : x
  2. Step 2: Convert to fraction form
    537.00/741.05 = 300.93/x
  3. Step 3: Cross multiply
    537.00x = 741.05 × 300.93
  4. Step 4: Simplify right side
    537.00x = 222,998.97
  5. Step 5: Solve for x
    x = 222,998.97/537.00
  6. Step 6: Final answer
    x = 415.27

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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.