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Finding the Fourth Proportional to 564.20, 778.40 and 367.64

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Solution

The fourth proportional to 564.20, 778.40 and 367.64 is: 507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 778.40 = 367.64 : x
  2. Step 2: Convert to fraction form
    564.20/778.40 = 367.64/x
  3. Step 3: Cross multiply
    564.20x = 778.40 × 367.64
  4. Step 4: Simplify right side
    564.20x = 286,170.98
  5. Step 5: Solve for x
    x = 286,170.98/564.20
  6. Step 6: Final answer
    x = 507.22

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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.