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Finding the Fourth Proportional to 600.92, 829.00 and 424.14

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Solution

The fourth proportional to 600.92, 829.00 and 424.14 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 829.00 = 424.14 : x
  2. Step 2: Convert to fraction form
    600.92/829.00 = 424.14/x
  3. Step 3: Cross multiply
    600.92x = 829.00 × 424.14
  4. Step 4: Simplify right side
    600.92x = 351,609.48
  5. Step 5: Solve for x
    x = 351,609.48/600.92
  6. Step 6: Final answer
    x = 585.12

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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.