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Finding the Fourth Proportional to 601.26, 829.82 and 352.58

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Solution

The fourth proportional to 601.26, 829.82 and 352.58 is: 486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 829.82 = 352.58 : x
  2. Step 2: Convert to fraction form
    601.26/829.82 = 352.58/x
  3. Step 3: Cross multiply
    601.26x = 829.82 × 352.58
  4. Step 4: Simplify right side
    601.26x = 292,577.94
  5. Step 5: Solve for x
    x = 292,577.94/601.26
  6. Step 6: Final answer
    x = 486.61

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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.