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Finding the Fourth Proportional to 600.89, 829.25 and 352.17

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Solution

The fourth proportional to 600.89, 829.25 and 352.17 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 829.25 = 352.17 : x
  2. Step 2: Convert to fraction form
    600.89/829.25 = 352.17/x
  3. Step 3: Cross multiply
    600.89x = 829.25 × 352.17
  4. Step 4: Simplify right side
    600.89x = 292,035.21
  5. Step 5: Solve for x
    x = 292,035.21/600.89
  6. Step 6: Final answer
    x = 486.01

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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.