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Finding the Fourth Proportional to 583.01, 874.52 and 150.16

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Solution

The fourth proportional to 583.01, 874.52 and 150.16 is: 225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.01 : 874.52 = 150.16 : x
  2. Step 2: Convert to fraction form
    583.01/874.52 = 150.16/x
  3. Step 3: Cross multiply
    583.01x = 874.52 × 150.16
  4. Step 4: Simplify right side
    583.01x = 131,312.80
  5. Step 5: Solve for x
    x = 131,312.80/583.01
  6. Step 6: Final answer
    x = 225.23

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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.