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Finding the Fourth Proportional to 589.15, 813.05 and 327.21

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Solution

The fourth proportional to 589.15, 813.05 and 327.21 is: 451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.15 : 813.05 = 327.21 : x
  2. Step 2: Convert to fraction form
    589.15/813.05 = 327.21/x
  3. Step 3: Cross multiply
    589.15x = 813.05 × 327.21
  4. Step 4: Simplify right side
    589.15x = 266,032.39
  5. Step 5: Solve for x
    x = 266,032.39/589.15
  6. Step 6: Final answer
    x = 451.55

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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.