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Finding the Fourth Proportional to 412.78, 569.82 and 357.44

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Solution

The fourth proportional to 412.78, 569.82 and 357.44 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 569.82 = 357.44 : x
  2. Step 2: Convert to fraction form
    412.78/569.82 = 357.44/x
  3. Step 3: Cross multiply
    412.78x = 569.82 × 357.44
  4. Step 4: Simplify right side
    412.78x = 203,676.46
  5. Step 5: Solve for x
    x = 203,676.46/412.78
  6. Step 6: Final answer
    x = 493.43

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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.