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Finding the Fourth Proportional to 586.21, 808.96 and 324.23

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Solution

The fourth proportional to 586.21, 808.96 and 324.23 is: 447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.21 : 808.96 = 324.23 : x
  2. Step 2: Convert to fraction form
    586.21/808.96 = 324.23/x
  3. Step 3: Cross multiply
    586.21x = 808.96 × 324.23
  4. Step 4: Simplify right side
    586.21x = 262,283.43
  5. Step 5: Solve for x
    x = 262,283.43/586.21
  6. Step 6: Final answer
    x = 447.43

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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.