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Finding the Fourth Proportional to 537.96, 741.60 and 444.54

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Solution

The fourth proportional to 537.96, 741.60 and 444.54 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 741.60 = 444.54 : x
  2. Step 2: Convert to fraction form
    537.96/741.60 = 444.54/x
  3. Step 3: Cross multiply
    537.96x = 741.60 × 444.54
  4. Step 4: Simplify right side
    537.96x = 329,667.16
  5. Step 5: Solve for x
    x = 329,667.16/537.96
  6. Step 6: Final answer
    x = 612.82

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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.