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Finding the Fourth Proportional to 600.77, 828.83 and 364.63

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Solution

The fourth proportional to 600.77, 828.83 and 364.63 is: 503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 828.83 = 364.63 : x
  2. Step 2: Convert to fraction form
    600.77/828.83 = 364.63/x
  3. Step 3: Cross multiply
    600.77x = 828.83 × 364.63
  4. Step 4: Simplify right side
    600.77x = 302,216.28
  5. Step 5: Solve for x
    x = 302,216.28/600.77
  6. Step 6: Final answer
    x = 503.05

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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.