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Finding the Fourth Proportional to 600.91, 829.35 and 352.29

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Solution

The fourth proportional to 600.91, 829.35 and 352.29 is: 486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.91 : 829.35 = 352.29 : x
  2. Step 2: Convert to fraction form
    600.91/829.35 = 352.29/x
  3. Step 3: Cross multiply
    600.91x = 829.35 × 352.29
  4. Step 4: Simplify right side
    600.91x = 292,171.71
  5. Step 5: Solve for x
    x = 292,171.71/600.91
  6. Step 6: Final answer
    x = 486.22

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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.