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Finding the Fourth Proportional to 285.47, 427.78 and 234.47

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Solution

The fourth proportional to 285.47, 427.78 and 234.47 is: 351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.47 : 427.78 = 234.47 : x
  2. Step 2: Convert to fraction form
    285.47/427.78 = 234.47/x
  3. Step 3: Cross multiply
    285.47x = 427.78 × 234.47
  4. Step 4: Simplify right side
    285.47x = 100,301.58
  5. Step 5: Solve for x
    x = 100,301.58/285.47
  6. Step 6: Final answer
    x = 351.36

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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.