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Finding the Fourth Proportional to 583.27, 874.90 and 150.42

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Solution

The fourth proportional to 583.27, 874.90 and 150.42 is: 225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.27 : 874.90 = 150.42 : x
  2. Step 2: Convert to fraction form
    583.27/874.90 = 150.42/x
  3. Step 3: Cross multiply
    583.27x = 874.90 × 150.42
  4. Step 4: Simplify right side
    583.27x = 131,605.93
  5. Step 5: Solve for x
    x = 131,605.93/583.27
  6. Step 6: Final answer
    x = 225.64

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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.