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Finding the Fourth Proportional to 386.82, 530.22 and 381.63

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Solution

The fourth proportional to 386.82, 530.22 and 381.63 is: 523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 530.22 = 381.63 : x
  2. Step 2: Convert to fraction form
    386.82/530.22 = 381.63/x
  3. Step 3: Cross multiply
    386.82x = 530.22 × 381.63
  4. Step 4: Simplify right side
    386.82x = 202,345.21
  5. Step 5: Solve for x
    x = 202,345.21/386.82
  6. Step 6: Final answer
    x = 523.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.