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Finding the Fourth Proportional to 601.78, 829.80 and 415.36

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Solution

The fourth proportional to 601.78, 829.80 and 415.36 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.78 : 829.80 = 415.36 : x
  2. Step 2: Convert to fraction form
    601.78/829.80 = 415.36/x
  3. Step 3: Cross multiply
    601.78x = 829.80 × 415.36
  4. Step 4: Simplify right side
    601.78x = 344,665.73
  5. Step 5: Solve for x
    x = 344,665.73/601.78
  6. Step 6: Final answer
    x = 572.74

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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.