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Finding the Fourth Proportional to 563.15, 775.27 and 463.73

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Solution

The fourth proportional to 563.15, 775.27 and 463.73 is: 638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 775.27 = 463.73 : x
  2. Step 2: Convert to fraction form
    563.15/775.27 = 463.73/x
  3. Step 3: Cross multiply
    563.15x = 775.27 × 463.73
  4. Step 4: Simplify right side
    563.15x = 359,512.66
  5. Step 5: Solve for x
    x = 359,512.66/563.15
  6. Step 6: Final answer
    x = 638.39

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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.