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Finding the Fourth Proportional to 583.70, 875.54 and 254.96

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Solution

The fourth proportional to 583.70, 875.54 and 254.96 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 875.54 = 254.96 : x
  2. Step 2: Convert to fraction form
    583.70/875.54 = 254.96/x
  3. Step 3: Cross multiply
    583.70x = 875.54 × 254.96
  4. Step 4: Simplify right side
    583.70x = 223,222.03
  5. Step 5: Solve for x
    x = 223,222.03/583.70
  6. Step 6: Final answer
    x = 382.43

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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.