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Finding the Fourth Proportional to 537.14, 742.16 and 427.38

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Solution

The fourth proportional to 537.14, 742.16 and 427.38 is: 590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 742.16 = 427.38 : x
  2. Step 2: Convert to fraction form
    537.14/742.16 = 427.38/x
  3. Step 3: Cross multiply
    537.14x = 742.16 × 427.38
  4. Step 4: Simplify right side
    537.14x = 317,184.34
  5. Step 5: Solve for x
    x = 317,184.34/537.14
  6. Step 6: Final answer
    x = 590.51

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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.