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Finding the Fourth Proportional to 594.13, 891.46 and 228.88

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Solution

The fourth proportional to 594.13, 891.46 and 228.88 is: 343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.13 : 891.46 = 228.88 : x
  2. Step 2: Convert to fraction form
    594.13/891.46 = 228.88/x
  3. Step 3: Cross multiply
    594.13x = 891.46 × 228.88
  4. Step 4: Simplify right side
    594.13x = 204,037.36
  5. Step 5: Solve for x
    x = 204,037.36/594.13
  6. Step 6: Final answer
    x = 343.42

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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.