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Finding the Fourth Proportional to 589.32, 884.08 and 199.35

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Solution

The fourth proportional to 589.32, 884.08 and 199.35 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 884.08 = 199.35 : x
  2. Step 2: Convert to fraction form
    589.32/884.08 = 199.35/x
  3. Step 3: Cross multiply
    589.32x = 884.08 × 199.35
  4. Step 4: Simplify right side
    589.32x = 176,241.35
  5. Step 5: Solve for x
    x = 176,241.35/589.32
  6. Step 6: Final answer
    x = 299.06

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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.