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Finding the Fourth Proportional to 563.73, 777.44 and 353.92

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Solution

The fourth proportional to 563.73, 777.44 and 353.92 is: 488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.73 : 777.44 = 353.92 : x
  2. Step 2: Convert to fraction form
    563.73/777.44 = 353.92/x
  3. Step 3: Cross multiply
    563.73x = 777.44 × 353.92
  4. Step 4: Simplify right side
    563.73x = 275,151.76
  5. Step 5: Solve for x
    x = 275,151.76/563.73
  6. Step 6: Final answer
    x = 488.10

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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.