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Finding the Fourth Proportional to 600.67, 829.52 and 512.83

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Solution

The fourth proportional to 600.67, 829.52 and 512.83 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.67 : 829.52 = 512.83 : x
  2. Step 2: Convert to fraction form
    600.67/829.52 = 512.83/x
  3. Step 3: Cross multiply
    600.67x = 829.52 × 512.83
  4. Step 4: Simplify right side
    600.67x = 425,402.74
  5. Step 5: Solve for x
    x = 425,402.74/600.67
  6. Step 6: Final answer
    x = 708.21

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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.