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Finding the Fourth Proportional to 341.27, 470.81 and 210.35

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Solution

The fourth proportional to 341.27, 470.81 and 210.35 is: 290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.27 : 470.81 = 210.35 : x
  2. Step 2: Convert to fraction form
    341.27/470.81 = 210.35/x
  3. Step 3: Cross multiply
    341.27x = 470.81 × 210.35
  4. Step 4: Simplify right side
    341.27x = 99,031.48
  5. Step 5: Solve for x
    x = 99,031.48/341.27
  6. Step 6: Final answer
    x = 290.19

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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.