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Finding the Fourth Proportional to 584.92, 807.18 and 363.82

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Solution

The fourth proportional to 584.92, 807.18 and 363.82 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 807.18 = 363.82 : x
  2. Step 2: Convert to fraction form
    584.92/807.18 = 363.82/x
  3. Step 3: Cross multiply
    584.92x = 807.18 × 363.82
  4. Step 4: Simplify right side
    584.92x = 293,668.23
  5. Step 5: Solve for x
    x = 293,668.23/584.92
  6. Step 6: Final answer
    x = 502.07

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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.