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Finding the Fourth Proportional to 563.72, 778.11 and 364.64

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Solution

The fourth proportional to 563.72, 778.11 and 364.64 is: 503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 778.11 = 364.64 : x
  2. Step 2: Convert to fraction form
    563.72/778.11 = 364.64/x
  3. Step 3: Cross multiply
    563.72x = 778.11 × 364.64
  4. Step 4: Simplify right side
    563.72x = 283,730.03
  5. Step 5: Solve for x
    x = 283,730.03/563.72
  6. Step 6: Final answer
    x = 503.32

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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.