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Finding the Fourth Proportional to 589.29, 884.31 and 264.66

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Solution

The fourth proportional to 589.29, 884.31 and 264.66 is: 397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.29 : 884.31 = 264.66 : x
  2. Step 2: Convert to fraction form
    589.29/884.31 = 264.66/x
  3. Step 3: Cross multiply
    589.29x = 884.31 × 264.66
  4. Step 4: Simplify right side
    589.29x = 234,041.48
  5. Step 5: Solve for x
    x = 234,041.48/589.29
  6. Step 6: Final answer
    x = 397.16

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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.