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Finding the Fourth Proportional to 593.80, 891.16 and 228.69

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Solution

The fourth proportional to 593.80, 891.16 and 228.69 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.80 : 891.16 = 228.69 : x
  2. Step 2: Convert to fraction form
    593.80/891.16 = 228.69/x
  3. Step 3: Cross multiply
    593.80x = 891.16 × 228.69
  4. Step 4: Simplify right side
    593.80x = 203,798.81
  5. Step 5: Solve for x
    x = 203,798.81/593.80
  6. Step 6: Final answer
    x = 343.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.