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Finding the Fourth Proportional to 600.66, 829.98 and 576.36

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Solution

The fourth proportional to 600.66, 829.98 and 576.36 is: 796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.66 : 829.98 = 576.36 : x
  2. Step 2: Convert to fraction form
    600.66/829.98 = 576.36/x
  3. Step 3: Cross multiply
    600.66x = 829.98 × 576.36
  4. Step 4: Simplify right side
    600.66x = 478,367.27
  5. Step 5: Solve for x
    x = 478,367.27/600.66
  6. Step 6: Final answer
    x = 796.40

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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.