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Finding the Fourth Proportional to 563.74, 775.37 and 452.97

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Solution

The fourth proportional to 563.74, 775.37 and 452.97 is: 623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.74 : 775.37 = 452.97 : x
  2. Step 2: Convert to fraction form
    563.74/775.37 = 452.97/x
  3. Step 3: Cross multiply
    563.74x = 775.37 × 452.97
  4. Step 4: Simplify right side
    563.74x = 351,220.48
  5. Step 5: Solve for x
    x = 351,220.48/563.74
  6. Step 6: Final answer
    x = 623.02

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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.