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Finding the Fourth Proportional to 600.41, 829.54 and 452.79

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Solution

The fourth proportional to 600.41, 829.54 and 452.79 is: 625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.41 : 829.54 = 452.79 : x
  2. Step 2: Convert to fraction form
    600.41/829.54 = 452.79/x
  3. Step 3: Cross multiply
    600.41x = 829.54 × 452.79
  4. Step 4: Simplify right side
    600.41x = 375,607.98
  5. Step 5: Solve for x
    x = 375,607.98/600.41
  6. Step 6: Final answer
    x = 625.58

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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.