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Finding the Fourth Proportional to 415.12, 573.06 and 297.34

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Solution

The fourth proportional to 415.12, 573.06 and 297.34 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.12 : 573.06 = 297.34 : x
  2. Step 2: Convert to fraction form
    415.12/573.06 = 297.34/x
  3. Step 3: Cross multiply
    415.12x = 573.06 × 297.34
  4. Step 4: Simplify right side
    415.12x = 170,393.66
  5. Step 5: Solve for x
    x = 170,393.66/415.12
  6. Step 6: Final answer
    x = 410.47

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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.