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Finding the Fourth Proportional to 564.45, 779.11 and 367.98

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Solution

The fourth proportional to 564.45, 779.11 and 367.98 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 779.11 = 367.98 : x
  2. Step 2: Convert to fraction form
    564.45/779.11 = 367.98/x
  3. Step 3: Cross multiply
    564.45x = 779.11 × 367.98
  4. Step 4: Simplify right side
    564.45x = 286,693.06
  5. Step 5: Solve for x
    x = 286,693.06/564.45
  6. Step 6: Final answer
    x = 507.92

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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.