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Finding the Fourth Proportional to 594.26, 891.50 and 269.63

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Solution

The fourth proportional to 594.26, 891.50 and 269.63 is: 404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.26 : 891.50 = 269.63 : x
  2. Step 2: Convert to fraction form
    594.26/891.50 = 269.63/x
  3. Step 3: Cross multiply
    594.26x = 891.50 × 269.63
  4. Step 4: Simplify right side
    594.26x = 240,369.34
  5. Step 5: Solve for x
    x = 240,369.34/594.26
  6. Step 6: Final answer
    x = 404.49

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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.