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Finding the Fourth Proportional to 415.83, 573.40 and 297.78

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Solution

The fourth proportional to 415.83, 573.40 and 297.78 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 573.40 = 297.78 : x
  2. Step 2: Convert to fraction form
    415.83/573.40 = 297.78/x
  3. Step 3: Cross multiply
    415.83x = 573.40 × 297.78
  4. Step 4: Simplify right side
    415.83x = 170,747.05
  5. Step 5: Solve for x
    x = 170,747.05/415.83
  6. Step 6: Final answer
    x = 410.62

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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.