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Finding the Fourth Proportional to 600.98, 829.62 and 461.66

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Solution

The fourth proportional to 600.98, 829.62 and 461.66 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 829.62 = 461.66 : x
  2. Step 2: Convert to fraction form
    600.98/829.62 = 461.66/x
  3. Step 3: Cross multiply
    600.98x = 829.62 × 461.66
  4. Step 4: Simplify right side
    600.98x = 383,002.37
  5. Step 5: Solve for x
    x = 383,002.37/600.98
  6. Step 6: Final answer
    x = 637.30

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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.