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Finding the Fourth Proportional to 284.27, 392.41 and 219.06

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Solution

The fourth proportional to 284.27, 392.41 and 219.06 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.27 : 392.41 = 219.06 : x
  2. Step 2: Convert to fraction form
    284.27/392.41 = 219.06/x
  3. Step 3: Cross multiply
    284.27x = 392.41 × 219.06
  4. Step 4: Simplify right side
    284.27x = 85,961.61
  5. Step 5: Solve for x
    x = 85,961.61/284.27
  6. Step 6: Final answer
    x = 302.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.