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Finding the Fourth Proportional to 589.88, 885 and 301.52

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Solution

The fourth proportional to 589.88, 885 and 301.52 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 885 = 301.52 : x
  2. Step 2: Convert to fraction form
    589.88/885 = 301.52/x
  3. Step 3: Cross multiply
    589.88x = 885 × 301.52
  4. Step 4: Simplify right side
    589.88x = 266,845.20
  5. Step 5: Solve for x
    x = 266,845.20/589.88
  6. Step 6: Final answer
    x = 452.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.