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Finding the Fourth Proportional to 284.48, 392.33 and 229.19

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Solution

The fourth proportional to 284.48, 392.33 and 229.19 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 392.33 = 229.19 : x
  2. Step 2: Convert to fraction form
    284.48/392.33 = 229.19/x
  3. Step 3: Cross multiply
    284.48x = 392.33 × 229.19
  4. Step 4: Simplify right side
    284.48x = 89,919.67
  5. Step 5: Solve for x
    x = 89,919.67/284.48
  6. Step 6: Final answer
    x = 316.09

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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.