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Finding the Fourth Proportional to 589.38, 883.38 and 452

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Solution

The fourth proportional to 589.38, 883.38 and 452 is: 677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 883.38 = 452 : x
  2. Step 2: Convert to fraction form
    589.38/883.38 = 452/x
  3. Step 3: Cross multiply
    589.38x = 883.38 × 452
  4. Step 4: Simplify right side
    589.38x = 399,287.76
  5. Step 5: Solve for x
    x = 399,287.76/589.38
  6. Step 6: Final answer
    x = 677.47

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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.