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Finding the Fourth Proportional to 284.67, 392.43 and 234.66

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Solution

The fourth proportional to 284.67, 392.43 and 234.66 is: 323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 392.43 = 234.66 : x
  2. Step 2: Convert to fraction form
    284.67/392.43 = 234.66/x
  3. Step 3: Cross multiply
    284.67x = 392.43 × 234.66
  4. Step 4: Simplify right side
    284.67x = 92,087.62
  5. Step 5: Solve for x
    x = 92,087.62/284.67
  6. Step 6: Final answer
    x = 323.49

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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.