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Finding the Fourth Proportional to 594.42, 891.71 and 229.16

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Solution

The fourth proportional to 594.42, 891.71 and 229.16 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 891.71 = 229.16 : x
  2. Step 2: Convert to fraction form
    594.42/891.71 = 229.16/x
  3. Step 3: Cross multiply
    594.42x = 891.71 × 229.16
  4. Step 4: Simplify right side
    594.42x = 204,344.26
  5. Step 5: Solve for x
    x = 204,344.26/594.42
  6. Step 6: Final answer
    x = 343.77

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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.