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Finding the Fourth Proportional to 594.36, 891.20 and 269.55

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Solution

The fourth proportional to 594.36, 891.20 and 269.55 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.36 : 891.20 = 269.55 : x
  2. Step 2: Convert to fraction form
    594.36/891.20 = 269.55/x
  3. Step 3: Cross multiply
    594.36x = 891.20 × 269.55
  4. Step 4: Simplify right side
    594.36x = 240,221.61
  5. Step 5: Solve for x
    x = 240,221.61/594.36
  6. Step 6: Final answer
    x = 404.17

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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.