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Finding the Fourth Proportional to 589.96, 881.54 and 450.37

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Solution

The fourth proportional to 589.96, 881.54 and 450.37 is: 672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.96 : 881.54 = 450.37 : x
  2. Step 2: Convert to fraction form
    589.96/881.54 = 450.37/x
  3. Step 3: Cross multiply
    589.96x = 881.54 × 450.37
  4. Step 4: Simplify right side
    589.96x = 397,019.17
  5. Step 5: Solve for x
    x = 397,019.17/589.96
  6. Step 6: Final answer
    x = 672.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.