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Finding the Fourth Proportional to 594.23, 891.47 and 204.22

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Solution

The fourth proportional to 594.23, 891.47 and 204.22 is: 306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.23 : 891.47 = 204.22 : x
  2. Step 2: Convert to fraction form
    594.23/891.47 = 204.22/x
  3. Step 3: Cross multiply
    594.23x = 891.47 × 204.22
  4. Step 4: Simplify right side
    594.23x = 182,054.29
  5. Step 5: Solve for x
    x = 182,054.29/594.23
  6. Step 6: Final answer
    x = 306.37

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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.