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Finding the Fourth Proportional to 586.11, 809.25 and 365.25

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Solution

The fourth proportional to 586.11, 809.25 and 365.25 is: 504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.11 : 809.25 = 365.25 : x
  2. Step 2: Convert to fraction form
    586.11/809.25 = 365.25/x
  3. Step 3: Cross multiply
    586.11x = 809.25 × 365.25
  4. Step 4: Simplify right side
    586.11x = 295,578.56
  5. Step 5: Solve for x
    x = 295,578.56/586.11
  6. Step 6: Final answer
    x = 504.31

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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.