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Finding the Fourth Proportional to 583.89, 875.89 and 193.81

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Solution

The fourth proportional to 583.89, 875.89 and 193.81 is: 290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.89 : 875.89 = 193.81 : x
  2. Step 2: Convert to fraction form
    583.89/875.89 = 193.81/x
  3. Step 3: Cross multiply
    583.89x = 875.89 × 193.81
  4. Step 4: Simplify right side
    583.89x = 169,756.24
  5. Step 5: Solve for x
    x = 169,756.24/583.89
  6. Step 6: Final answer
    x = 290.73

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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.