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Finding the Fourth Proportional to 537.22, 741.27 and 316.09

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Solution

The fourth proportional to 537.22, 741.27 and 316.09 is: 436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 741.27 = 316.09 : x
  2. Step 2: Convert to fraction form
    537.22/741.27 = 316.09/x
  3. Step 3: Cross multiply
    537.22x = 741.27 × 316.09
  4. Step 4: Simplify right side
    537.22x = 234,308.03
  5. Step 5: Solve for x
    x = 234,308.03/537.22
  6. Step 6: Final answer
    x = 436.15

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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.