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Finding the Fourth Proportional to 311.84, 430.88 and 241.84

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Solution

The fourth proportional to 311.84, 430.88 and 241.84 is: 334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.84 : 430.88 = 241.84 : x
  2. Step 2: Convert to fraction form
    311.84/430.88 = 241.84/x
  3. Step 3: Cross multiply
    311.84x = 430.88 × 241.84
  4. Step 4: Simplify right side
    311.84x = 104,204.02
  5. Step 5: Solve for x
    x = 104,204.02/311.84
  6. Step 6: Final answer
    x = 334.16

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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.