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Finding the Fourth Proportional to 563.80, 844.86 and 347.56

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Solution

The fourth proportional to 563.80, 844.86 and 347.56 is: 520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.80 : 844.86 = 347.56 : x
  2. Step 2: Convert to fraction form
    563.80/844.86 = 347.56/x
  3. Step 3: Cross multiply
    563.80x = 844.86 × 347.56
  4. Step 4: Simplify right side
    563.80x = 293,639.54
  5. Step 5: Solve for x
    x = 293,639.54/563.80
  6. Step 6: Final answer
    x = 520.82

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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.