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Finding the Fourth Proportional to 537.72, 741.82 and 341.16

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Solution

The fourth proportional to 537.72, 741.82 and 341.16 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 741.82 = 341.16 : x
  2. Step 2: Convert to fraction form
    537.72/741.82 = 341.16/x
  3. Step 3: Cross multiply
    537.72x = 741.82 × 341.16
  4. Step 4: Simplify right side
    537.72x = 253,079.31
  5. Step 5: Solve for x
    x = 253,079.31/537.72
  6. Step 6: Final answer
    x = 470.65

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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.