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Finding the Fourth Proportional to 557.22, 768.56 and 415.28

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Solution

The fourth proportional to 557.22, 768.56 and 415.28 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.22 : 768.56 = 415.28 : x
  2. Step 2: Convert to fraction form
    557.22/768.56 = 415.28/x
  3. Step 3: Cross multiply
    557.22x = 768.56 × 415.28
  4. Step 4: Simplify right side
    557.22x = 319,167.60
  5. Step 5: Solve for x
    x = 319,167.60/557.22
  6. Step 6: Final answer
    x = 572.79

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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.