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Finding the Fourth Proportional to 350.67, 527.84 and 297.82

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Solution

The fourth proportional to 350.67, 527.84 and 297.82 is: 448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.67 : 527.84 = 297.82 : x
  2. Step 2: Convert to fraction form
    350.67/527.84 = 297.82/x
  3. Step 3: Cross multiply
    350.67x = 527.84 × 297.82
  4. Step 4: Simplify right side
    350.67x = 157,198.50
  5. Step 5: Solve for x
    x = 157,198.50/350.67
  6. Step 6: Final answer
    x = 448.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.