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Finding the Fourth Proportional to 583.10, 873.86 and 428.30

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Solution

The fourth proportional to 583.10, 873.86 and 428.30 is: 641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 873.86 = 428.30 : x
  2. Step 2: Convert to fraction form
    583.10/873.86 = 428.30/x
  3. Step 3: Cross multiply
    583.10x = 873.86 × 428.30
  4. Step 4: Simplify right side
    583.10x = 374,270.94
  5. Step 5: Solve for x
    x = 374,270.94/583.10
  6. Step 6: Final answer
    x = 641.87

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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.