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Finding the Fourth Proportional to 593.89, 891.17 and 228.70

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Solution

The fourth proportional to 593.89, 891.17 and 228.70 is: 343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.89 : 891.17 = 228.70 : x
  2. Step 2: Convert to fraction form
    593.89/891.17 = 228.70/x
  3. Step 3: Cross multiply
    593.89x = 891.17 × 228.70
  4. Step 4: Simplify right side
    593.89x = 203,806.39
  5. Step 5: Solve for x
    x = 203,806.39/593.89
  6. Step 6: Final answer
    x = 343.17

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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.