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Finding the Fourth Proportional to 601.72, 829.92 and 415.26

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Solution

The fourth proportional to 601.72, 829.92 and 415.26 is: 572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 829.92 = 415.26 : x
  2. Step 2: Convert to fraction form
    601.72/829.92 = 415.26/x
  3. Step 3: Cross multiply
    601.72x = 829.92 × 415.26
  4. Step 4: Simplify right side
    601.72x = 344,632.58
  5. Step 5: Solve for x
    x = 344,632.58/601.72
  6. Step 6: Final answer
    x = 572.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.