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Finding the Fourth Proportional to 285.09, 427.43 and 230.31

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Solution

The fourth proportional to 285.09, 427.43 and 230.31 is: 345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.09 : 427.43 = 230.31 : x
  2. Step 2: Convert to fraction form
    285.09/427.43 = 230.31/x
  3. Step 3: Cross multiply
    285.09x = 427.43 × 230.31
  4. Step 4: Simplify right side
    285.09x = 98,442.72
  5. Step 5: Solve for x
    x = 98,442.72/285.09
  6. Step 6: Final answer
    x = 345.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.