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Finding the Fourth Proportional to 583.63, 875.44 and 150.75

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Solution

The fourth proportional to 583.63, 875.44 and 150.75 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.63 : 875.44 = 150.75 : x
  2. Step 2: Convert to fraction form
    583.63/875.44 = 150.75/x
  3. Step 3: Cross multiply
    583.63x = 875.44 × 150.75
  4. Step 4: Simplify right side
    583.63x = 131,972.77
  5. Step 5: Solve for x
    x = 131,972.77/583.63
  6. Step 6: Final answer
    x = 226.13

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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.