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Finding the Fourth Proportional to 563.98, 778.29 and 377.74

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Solution

The fourth proportional to 563.98, 778.29 and 377.74 is: 521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 778.29 = 377.74 : x
  2. Step 2: Convert to fraction form
    563.98/778.29 = 377.74/x
  3. Step 3: Cross multiply
    563.98x = 778.29 × 377.74
  4. Step 4: Simplify right side
    563.98x = 293,991.26
  5. Step 5: Solve for x
    x = 293,991.26/563.98
  6. Step 6: Final answer
    x = 521.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.