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Finding the Fourth Proportional to 314.34, 470.89 and 241.84

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Solution

The fourth proportional to 314.34, 470.89 and 241.84 is: 362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 470.89 = 241.84 : x
  2. Step 2: Convert to fraction form
    314.34/470.89 = 241.84/x
  3. Step 3: Cross multiply
    314.34x = 470.89 × 241.84
  4. Step 4: Simplify right side
    314.34x = 113,880.04
  5. Step 5: Solve for x
    x = 113,880.04/314.34
  6. Step 6: Final answer
    x = 362.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.