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Finding the Fourth Proportional to 589.89, 884.12 and 416.30

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Solution

The fourth proportional to 589.89, 884.12 and 416.30 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 884.12 = 416.30 : x
  2. Step 2: Convert to fraction form
    589.89/884.12 = 416.30/x
  3. Step 3: Cross multiply
    589.89x = 884.12 × 416.30
  4. Step 4: Simplify right side
    589.89x = 368,052.65
  5. Step 5: Solve for x
    x = 368,052.65/589.89
  6. Step 6: Final answer
    x = 623.93

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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.