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Finding the Fourth Proportional to 601.05, 829.40 and 352.33

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Solution

The fourth proportional to 601.05, 829.40 and 352.33 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.05 : 829.40 = 352.33 : x
  2. Step 2: Convert to fraction form
    601.05/829.40 = 352.33/x
  3. Step 3: Cross multiply
    601.05x = 829.40 × 352.33
  4. Step 4: Simplify right side
    601.05x = 292,224.14
  5. Step 5: Solve for x
    x = 292,224.14/601.05
  6. Step 6: Final answer
    x = 486.19

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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.