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Finding the Fourth Proportional to 584.75, 873.74 and 443.11

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Solution

The fourth proportional to 584.75, 873.74 and 443.11 is: 662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 873.74 = 443.11 : x
  2. Step 2: Convert to fraction form
    584.75/873.74 = 443.11/x
  3. Step 3: Cross multiply
    584.75x = 873.74 × 443.11
  4. Step 4: Simplify right side
    584.75x = 387,158.53
  5. Step 5: Solve for x
    x = 387,158.53/584.75
  6. Step 6: Final answer
    x = 662.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.