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Finding the Fourth Proportional to 594.71, 891.87 and 229.29

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Solution

The fourth proportional to 594.71, 891.87 and 229.29 is: 343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.71 : 891.87 = 229.29 : x
  2. Step 2: Convert to fraction form
    594.71/891.87 = 229.29/x
  3. Step 3: Cross multiply
    594.71x = 891.87 × 229.29
  4. Step 4: Simplify right side
    594.71x = 204,496.87
  5. Step 5: Solve for x
    x = 204,496.87/594.71
  6. Step 6: Final answer
    x = 343.86

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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.