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Finding the Fourth Proportional to 387.72, 535.07 and 230.53

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Solution

The fourth proportional to 387.72, 535.07 and 230.53 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.72 : 535.07 = 230.53 : x
  2. Step 2: Convert to fraction form
    387.72/535.07 = 230.53/x
  3. Step 3: Cross multiply
    387.72x = 535.07 × 230.53
  4. Step 4: Simplify right side
    387.72x = 123,349.69
  5. Step 5: Solve for x
    x = 123,349.69/387.72
  6. Step 6: Final answer
    x = 318.14

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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.