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Finding the Fourth Proportional to 341.40, 470.16 and 333.84

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Solution

The fourth proportional to 341.40, 470.16 and 333.84 is: 459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.40 : 470.16 = 333.84 : x
  2. Step 2: Convert to fraction form
    341.40/470.16 = 333.84/x
  3. Step 3: Cross multiply
    341.40x = 470.16 × 333.84
  4. Step 4: Simplify right side
    341.40x = 156,958.21
  5. Step 5: Solve for x
    x = 156,958.21/341.40
  6. Step 6: Final answer
    x = 459.75

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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.