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Finding the Fourth Proportional to 563.71, 844.89 and 319.90

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Solution

The fourth proportional to 563.71, 844.89 and 319.90 is: 479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.71 : 844.89 = 319.90 : x
  2. Step 2: Convert to fraction form
    563.71/844.89 = 319.90/x
  3. Step 3: Cross multiply
    563.71x = 844.89 × 319.90
  4. Step 4: Simplify right side
    563.71x = 270,280.31
  5. Step 5: Solve for x
    x = 270,280.31/563.71
  6. Step 6: Final answer
    x = 479.47

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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.