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Finding the Fourth Proportional to 563.66, 777.83 and 314.97

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Solution

The fourth proportional to 563.66, 777.83 and 314.97 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 777.83 = 314.97 : x
  2. Step 2: Convert to fraction form
    563.66/777.83 = 314.97/x
  3. Step 3: Cross multiply
    563.66x = 777.83 × 314.97
  4. Step 4: Simplify right side
    563.66x = 244,988.62
  5. Step 5: Solve for x
    x = 244,988.62/563.66
  6. Step 6: Final answer
    x = 434.64

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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.