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Finding the Fourth Proportional to 584.79, 807.17 and 363.62

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Solution

The fourth proportional to 584.79, 807.17 and 363.62 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.79 : 807.17 = 363.62 : x
  2. Step 2: Convert to fraction form
    584.79/807.17 = 363.62/x
  3. Step 3: Cross multiply
    584.79x = 807.17 × 363.62
  4. Step 4: Simplify right side
    584.79x = 293,497.30
  5. Step 5: Solve for x
    x = 293,497.30/584.79
  6. Step 6: Final answer
    x = 501.88

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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.