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Finding the Fourth Proportional to 341.34, 470.89 and 217.07

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Solution

The fourth proportional to 341.34, 470.89 and 217.07 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.34 : 470.89 = 217.07 : x
  2. Step 2: Convert to fraction form
    341.34/470.89 = 217.07/x
  3. Step 3: Cross multiply
    341.34x = 470.89 × 217.07
  4. Step 4: Simplify right side
    341.34x = 102,216.09
  5. Step 5: Solve for x
    x = 102,216.09/341.34
  6. Step 6: Final answer
    x = 299.46

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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.