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Finding the Fourth Proportional to 284.95, 393.60 and 219.34

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Solution

The fourth proportional to 284.95, 393.60 and 219.34 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.95 : 393.60 = 219.34 : x
  2. Step 2: Convert to fraction form
    284.95/393.60 = 219.34/x
  3. Step 3: Cross multiply
    284.95x = 393.60 × 219.34
  4. Step 4: Simplify right side
    284.95x = 86,332.22
  5. Step 5: Solve for x
    x = 86,332.22/284.95
  6. Step 6: Final answer
    x = 302.97

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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.