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Finding the Fourth Proportional to 584.73, 807.06 and 363.55

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Solution

The fourth proportional to 584.73, 807.06 and 363.55 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 807.06 = 363.55 : x
  2. Step 2: Convert to fraction form
    584.73/807.06 = 363.55/x
  3. Step 3: Cross multiply
    584.73x = 807.06 × 363.55
  4. Step 4: Simplify right side
    584.73x = 293,406.66
  5. Step 5: Solve for x
    x = 293,406.66/584.73
  6. Step 6: Final answer
    x = 501.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.