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Finding the Fourth Proportional to 563.51, 777.41 and 353.62

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Solution

The fourth proportional to 563.51, 777.41 and 353.62 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.51 : 777.41 = 353.62 : x
  2. Step 2: Convert to fraction form
    563.51/777.41 = 353.62/x
  3. Step 3: Cross multiply
    563.51x = 777.41 × 353.62
  4. Step 4: Simplify right side
    563.51x = 274,910.24
  5. Step 5: Solve for x
    x = 274,910.24/563.51
  6. Step 6: Final answer
    x = 487.85

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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.