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Finding the Fourth Proportional to 564.24, 778.40 and 367.78

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Solution

The fourth proportional to 564.24, 778.40 and 367.78 is: 507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 778.40 = 367.78 : x
  2. Step 2: Convert to fraction form
    564.24/778.40 = 367.78/x
  3. Step 3: Cross multiply
    564.24x = 778.40 × 367.78
  4. Step 4: Simplify right side
    564.24x = 286,279.95
  5. Step 5: Solve for x
    x = 286,279.95/564.24
  6. Step 6: Final answer
    x = 507.37

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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.