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Finding the Fourth Proportional to 589.77, 884.79 and 265.23

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Solution

The fourth proportional to 589.77, 884.79 and 265.23 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 884.79 = 265.23 : x
  2. Step 2: Convert to fraction form
    589.77/884.79 = 265.23/x
  3. Step 3: Cross multiply
    589.77x = 884.79 × 265.23
  4. Step 4: Simplify right side
    589.77x = 234,672.85
  5. Step 5: Solve for x
    x = 234,672.85/589.77
  6. Step 6: Final answer
    x = 397.91

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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.