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Finding the Fourth Proportional to 600.99, 829.65 and 352.23

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Solution

The fourth proportional to 600.99, 829.65 and 352.23 is: 486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.99 : 829.65 = 352.23 : x
  2. Step 2: Convert to fraction form
    600.99/829.65 = 352.23/x
  3. Step 3: Cross multiply
    600.99x = 829.65 × 352.23
  4. Step 4: Simplify right side
    600.99x = 292,227.62
  5. Step 5: Solve for x
    x = 292,227.62/600.99
  6. Step 6: Final answer
    x = 486.24

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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.