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Finding the Fourth Proportional to 563.99, 778.31 and 367.85

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Solution

The fourth proportional to 563.99, 778.31 and 367.85 is: 507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.99 : 778.31 = 367.85 : x
  2. Step 2: Convert to fraction form
    563.99/778.31 = 367.85/x
  3. Step 3: Cross multiply
    563.99x = 778.31 × 367.85
  4. Step 4: Simplify right side
    563.99x = 286,301.33
  5. Step 5: Solve for x
    x = 286,301.33/563.99
  6. Step 6: Final answer
    x = 507.64

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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.