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Finding the Fourth Proportional to 563.82, 777.76 and 464.02

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Solution

The fourth proportional to 563.82, 777.76 and 464.02 is: 640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 777.76 = 464.02 : x
  2. Step 2: Convert to fraction form
    563.82/777.76 = 464.02/x
  3. Step 3: Cross multiply
    563.82x = 777.76 × 464.02
  4. Step 4: Simplify right side
    563.82x = 360,896.20
  5. Step 5: Solve for x
    x = 360,896.20/563.82
  6. Step 6: Final answer
    x = 640.09

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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.