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Finding the Fourth Proportional to 600.82, 829.16 and 364.93

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Solution

The fourth proportional to 600.82, 829.16 and 364.93 is: 503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 829.16 = 364.93 : x
  2. Step 2: Convert to fraction form
    600.82/829.16 = 364.93/x
  3. Step 3: Cross multiply
    600.82x = 829.16 × 364.93
  4. Step 4: Simplify right side
    600.82x = 302,585.36
  5. Step 5: Solve for x
    x = 302,585.36/600.82
  6. Step 6: Final answer
    x = 503.62

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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.