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Finding the Fourth Proportional to 563.49, 844.56 and 289.71

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Solution

The fourth proportional to 563.49, 844.56 and 289.71 is: 434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 844.56 = 289.71 : x
  2. Step 2: Convert to fraction form
    563.49/844.56 = 289.71/x
  3. Step 3: Cross multiply
    563.49x = 844.56 × 289.71
  4. Step 4: Simplify right side
    563.49x = 244,677.48
  5. Step 5: Solve for x
    x = 244,677.48/563.49
  6. Step 6: Final answer
    x = 434.22

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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.