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Finding the Fourth Proportional to 582.97, 874.46 and 150.09

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Solution

The fourth proportional to 582.97, 874.46 and 150.09 is: 225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 874.46 = 150.09 : x
  2. Step 2: Convert to fraction form
    582.97/874.46 = 150.09/x
  3. Step 3: Cross multiply
    582.97x = 874.46 × 150.09
  4. Step 4: Simplify right side
    582.97x = 131,250.51
  5. Step 5: Solve for x
    x = 131,250.51/582.97
  6. Step 6: Final answer
    x = 225.14

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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.