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Finding the Fourth Proportional to 601.22, 829.47 and 352.45

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Solution

The fourth proportional to 601.22, 829.47 and 352.45 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.22 : 829.47 = 352.45 : x
  2. Step 2: Convert to fraction form
    601.22/829.47 = 352.45/x
  3. Step 3: Cross multiply
    601.22x = 829.47 × 352.45
  4. Step 4: Simplify right side
    601.22x = 292,346.70
  5. Step 5: Solve for x
    x = 292,346.70/601.22
  6. Step 6: Final answer
    x = 486.26

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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.