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Finding the Fourth Proportional to 589.36, 881.58 and 450.88

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Solution

The fourth proportional to 589.36, 881.58 and 450.88 is: 674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 881.58 = 450.88 : x
  2. Step 2: Convert to fraction form
    589.36/881.58 = 450.88/x
  3. Step 3: Cross multiply
    589.36x = 881.58 × 450.88
  4. Step 4: Simplify right side
    589.36x = 397,486.79
  5. Step 5: Solve for x
    x = 397,486.79/589.36
  6. Step 6: Final answer
    x = 674.44

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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.