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Finding the Fourth Proportional to 563.97, 777.77 and 505.88

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Solution

The fourth proportional to 563.97, 777.77 and 505.88 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.97 : 777.77 = 505.88 : x
  2. Step 2: Convert to fraction form
    563.97/777.77 = 505.88/x
  3. Step 3: Cross multiply
    563.97x = 777.77 × 505.88
  4. Step 4: Simplify right side
    563.97x = 393,451.87
  5. Step 5: Solve for x
    x = 393,451.87/563.97
  6. Step 6: Final answer
    x = 697.65

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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.