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Finding the Fourth Proportional to 582.94, 874.34 and 150.09

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Solution

The fourth proportional to 582.94, 874.34 and 150.09 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 874.34 = 150.09 : x
  2. Step 2: Convert to fraction form
    582.94/874.34 = 150.09/x
  3. Step 3: Cross multiply
    582.94x = 874.34 × 150.09
  4. Step 4: Simplify right side
    582.94x = 131,229.69
  5. Step 5: Solve for x
    x = 131,229.69/582.94
  6. Step 6: Final answer
    x = 225.12

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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.