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Finding the Fourth Proportional to 600.86, 829.20 and 364.84

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Solution

The fourth proportional to 600.86, 829.20 and 364.84 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.86 : 829.20 = 364.84 : x
  2. Step 2: Convert to fraction form
    600.86/829.20 = 364.84/x
  3. Step 3: Cross multiply
    600.86x = 829.20 × 364.84
  4. Step 4: Simplify right side
    600.86x = 302,525.33
  5. Step 5: Solve for x
    x = 302,525.33/600.86
  6. Step 6: Final answer
    x = 503.49

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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.