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Finding the Fourth Proportional to 564.05, 778.16 and 367.56

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Solution

The fourth proportional to 564.05, 778.16 and 367.56 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 778.16 = 367.56 : x
  2. Step 2: Convert to fraction form
    564.05/778.16 = 367.56/x
  3. Step 3: Cross multiply
    564.05x = 778.16 × 367.56
  4. Step 4: Simplify right side
    564.05x = 286,021.41
  5. Step 5: Solve for x
    x = 286,021.41/564.05
  6. Step 6: Final answer
    x = 507.08

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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.