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Finding the Fourth Proportional to 415.82, 573.34 and 297.66

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Solution

The fourth proportional to 415.82, 573.34 and 297.66 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 573.34 = 297.66 : x
  2. Step 2: Convert to fraction form
    415.82/573.34 = 297.66/x
  3. Step 3: Cross multiply
    415.82x = 573.34 × 297.66
  4. Step 4: Simplify right side
    415.82x = 170,660.38
  5. Step 5: Solve for x
    x = 170,660.38/415.82
  6. Step 6: Final answer
    x = 410.42

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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.