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Finding the Fourth Proportional to 537.48, 741.60 and 304.56

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Solution

The fourth proportional to 537.48, 741.60 and 304.56 is: 420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 741.60 = 304.56 : x
  2. Step 2: Convert to fraction form
    537.48/741.60 = 304.56/x
  3. Step 3: Cross multiply
    537.48x = 741.60 × 304.56
  4. Step 4: Simplify right side
    537.48x = 225,861.70
  5. Step 5: Solve for x
    x = 225,861.70/537.48
  6. Step 6: Final answer
    x = 420.22

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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.