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Finding the Fourth Proportional to 563.41, 777.42 and 314.73

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Solution

The fourth proportional to 563.41, 777.42 and 314.73 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 777.42 = 314.73 : x
  2. Step 2: Convert to fraction form
    563.41/777.42 = 314.73/x
  3. Step 3: Cross multiply
    563.41x = 777.42 × 314.73
  4. Step 4: Simplify right side
    563.41x = 244,677.40
  5. Step 5: Solve for x
    x = 244,677.40/563.41
  6. Step 6: Final answer
    x = 434.28

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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.