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Finding the Fourth Proportional to 298.80, 412.70 and 236.84

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Solution

The fourth proportional to 298.80, 412.70 and 236.84 is: 327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.80 : 412.70 = 236.84 : x
  2. Step 2: Convert to fraction form
    298.80/412.70 = 236.84/x
  3. Step 3: Cross multiply
    298.80x = 412.70 × 236.84
  4. Step 4: Simplify right side
    298.80x = 97,740.62
  5. Step 5: Solve for x
    x = 97,740.62/298.80
  6. Step 6: Final answer
    x = 327.11

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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.