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Finding the Fourth Proportional to 563.84, 844.20 and 289.34

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Solution

The fourth proportional to 563.84, 844.20 and 289.34 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 844.20 = 289.34 : x
  2. Step 2: Convert to fraction form
    563.84/844.20 = 289.34/x
  3. Step 3: Cross multiply
    563.84x = 844.20 × 289.34
  4. Step 4: Simplify right side
    563.84x = 244,260.83
  5. Step 5: Solve for x
    x = 244,260.83/563.84
  6. Step 6: Final answer
    x = 433.21

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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.