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Finding the Fourth Proportional to 589.46, 884.46 and 264.92

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Solution

The fourth proportional to 589.46, 884.46 and 264.92 is: 397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 884.46 = 264.92 : x
  2. Step 2: Convert to fraction form
    589.46/884.46 = 264.92/x
  3. Step 3: Cross multiply
    589.46x = 884.46 × 264.92
  4. Step 4: Simplify right side
    589.46x = 234,311.14
  5. Step 5: Solve for x
    x = 234,311.14/589.46
  6. Step 6: Final answer
    x = 397.50

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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.