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Finding the Fourth Proportional to 537.56, 741.82 and 316.48

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Solution

The fourth proportional to 537.56, 741.82 and 316.48 is: 436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 741.82 = 316.48 : x
  2. Step 2: Convert to fraction form
    537.56/741.82 = 316.48/x
  3. Step 3: Cross multiply
    537.56x = 741.82 × 316.48
  4. Step 4: Simplify right side
    537.56x = 234,771.19
  5. Step 5: Solve for x
    x = 234,771.19/537.56
  6. Step 6: Final answer
    x = 436.73

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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.