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Finding the Fourth Proportional to 593.70, 890.15 and 228.30

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Solution

The fourth proportional to 593.70, 890.15 and 228.30 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.70 : 890.15 = 228.30 : x
  2. Step 2: Convert to fraction form
    593.70/890.15 = 228.30/x
  3. Step 3: Cross multiply
    593.70x = 890.15 × 228.30
  4. Step 4: Simplify right side
    593.70x = 203,220.10
  5. Step 5: Solve for x
    x = 203,220.10/593.70
  6. Step 6: Final answer
    x = 342.29

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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.