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Finding the Fourth Proportional to 593.84, 891.12 and 228.88

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Solution

The fourth proportional to 593.84, 891.12 and 228.88 is: 343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 891.12 = 228.88 : x
  2. Step 2: Convert to fraction form
    593.84/891.12 = 228.88/x
  3. Step 3: Cross multiply
    593.84x = 891.12 × 228.88
  4. Step 4: Simplify right side
    593.84x = 203,959.55
  5. Step 5: Solve for x
    x = 203,959.55/593.84
  6. Step 6: Final answer
    x = 343.46

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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.