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Finding the Fourth Proportional to 387.69, 534.91 and 230.33

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Solution

The fourth proportional to 387.69, 534.91 and 230.33 is: 317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.69 : 534.91 = 230.33 : x
  2. Step 2: Convert to fraction form
    387.69/534.91 = 230.33/x
  3. Step 3: Cross multiply
    387.69x = 534.91 × 230.33
  4. Step 4: Simplify right side
    387.69x = 123,205.82
  5. Step 5: Solve for x
    x = 123,205.82/387.69
  6. Step 6: Final answer
    x = 317.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.