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Finding the Fourth Proportional to 589.42, 884.28 and 416.43

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Solution

The fourth proportional to 589.42, 884.28 and 416.43 is: 624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.42 : 884.28 = 416.43 : x
  2. Step 2: Convert to fraction form
    589.42/884.28 = 416.43/x
  3. Step 3: Cross multiply
    589.42x = 884.28 × 416.43
  4. Step 4: Simplify right side
    589.42x = 368,234.22
  5. Step 5: Solve for x
    x = 368,234.22/589.42
  6. Step 6: Final answer
    x = 624.74

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Why These Related Problems?

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