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Finding the Fourth Proportional to 402.82, 605.01 and 357.56

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Solution

The fourth proportional to 402.82, 605.01 and 357.56 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 605.01 = 357.56 : x
  2. Step 2: Convert to fraction form
    402.82/605.01 = 357.56/x
  3. Step 3: Cross multiply
    402.82x = 605.01 × 357.56
  4. Step 4: Simplify right side
    402.82x = 216,327.38
  5. Step 5: Solve for x
    x = 216,327.38/402.82
  6. Step 6: Final answer
    x = 537.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.