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Finding the Fourth Proportional to 442.84, 611.14 and 243.67

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Solution

The fourth proportional to 442.84, 611.14 and 243.67 is: 336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 611.14 = 243.67 : x
  2. Step 2: Convert to fraction form
    442.84/611.14 = 243.67/x
  3. Step 3: Cross multiply
    442.84x = 611.14 × 243.67
  4. Step 4: Simplify right side
    442.84x = 148,917.80
  5. Step 5: Solve for x
    x = 148,917.80/442.84
  6. Step 6: Final answer
    x = 336.28

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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.