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Finding the Fourth Proportional to 341.17, 470.46 and 294.67

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Solution

The fourth proportional to 341.17, 470.46 and 294.67 is: 406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.17 : 470.46 = 294.67 : x
  2. Step 2: Convert to fraction form
    341.17/470.46 = 294.67/x
  3. Step 3: Cross multiply
    341.17x = 470.46 × 294.67
  4. Step 4: Simplify right side
    341.17x = 138,630.45
  5. Step 5: Solve for x
    x = 138,630.45/341.17
  6. Step 6: Final answer
    x = 406.34

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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.