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Finding the Fourth Proportional to 563.74, 778.72 and 453.64

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Solution

The fourth proportional to 563.74, 778.72 and 453.64 is: 626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.74 : 778.72 = 453.64 : x
  2. Step 2: Convert to fraction form
    563.74/778.72 = 453.64/x
  3. Step 3: Cross multiply
    563.74x = 778.72 × 453.64
  4. Step 4: Simplify right side
    563.74x = 353,256.27
  5. Step 5: Solve for x
    x = 353,256.27/563.74
  6. Step 6: Final answer
    x = 626.63

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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.