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Finding the Fourth Proportional to 564.72, 844.14 and 401.52

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Solution

The fourth proportional to 564.72, 844.14 and 401.52 is: 600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 844.14 = 401.52 : x
  2. Step 2: Convert to fraction form
    564.72/844.14 = 401.52/x
  3. Step 3: Cross multiply
    564.72x = 844.14 × 401.52
  4. Step 4: Simplify right side
    564.72x = 338,939.09
  5. Step 5: Solve for x
    x = 338,939.09/564.72
  6. Step 6: Final answer
    x = 600.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.