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Finding the Fourth Proportional to 563.29, 844.53 and 270.84

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Solution

The fourth proportional to 563.29, 844.53 and 270.84 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.29 : 844.53 = 270.84 : x
  2. Step 2: Convert to fraction form
    563.29/844.53 = 270.84/x
  3. Step 3: Cross multiply
    563.29x = 844.53 × 270.84
  4. Step 4: Simplify right side
    563.29x = 228,734.66
  5. Step 5: Solve for x
    x = 228,734.66/563.29
  6. Step 6: Final answer
    x = 406.07

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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.