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Finding the Fourth Proportional to 563.76, 844.73 and 319.55

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Solution

The fourth proportional to 563.76, 844.73 and 319.55 is: 478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 844.73 = 319.55 : x
  2. Step 2: Convert to fraction form
    563.76/844.73 = 319.55/x
  3. Step 3: Cross multiply
    563.76x = 844.73 × 319.55
  4. Step 4: Simplify right side
    563.76x = 269,928.85
  5. Step 5: Solve for x
    x = 269,928.85/563.76
  6. Step 6: Final answer
    x = 478.80

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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.