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Finding the Fourth Proportional to 341.51, 470.58 and 243.09

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Solution

The fourth proportional to 341.51, 470.58 and 243.09 is: 334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.51 : 470.58 = 243.09 : x
  2. Step 2: Convert to fraction form
    341.51/470.58 = 243.09/x
  3. Step 3: Cross multiply
    341.51x = 470.58 × 243.09
  4. Step 4: Simplify right side
    341.51x = 114,393.29
  5. Step 5: Solve for x
    x = 114,393.29/341.51
  6. Step 6: Final answer
    x = 334.97

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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.