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Finding the Fourth Proportional to 583.38, 873.90 and 326.34

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Solution

The fourth proportional to 583.38, 873.90 and 326.34 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 873.90 = 326.34 : x
  2. Step 2: Convert to fraction form
    583.38/873.90 = 326.34/x
  3. Step 3: Cross multiply
    583.38x = 873.90 × 326.34
  4. Step 4: Simplify right side
    583.38x = 285,188.53
  5. Step 5: Solve for x
    x = 285,188.53/583.38
  6. Step 6: Final answer
    x = 488.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.