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Finding the Fourth Proportional to 600.37, 828.59 and 364.41

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Solution

The fourth proportional to 600.37, 828.59 and 364.41 is: 502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.37 : 828.59 = 364.41 : x
  2. Step 2: Convert to fraction form
    600.37/828.59 = 364.41/x
  3. Step 3: Cross multiply
    600.37x = 828.59 × 364.41
  4. Step 4: Simplify right side
    600.37x = 301,946.48
  5. Step 5: Solve for x
    x = 301,946.48/600.37
  6. Step 6: Final answer
    x = 502.93

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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.