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Finding the Fourth Proportional to 470.56, 705.73 and 141.41

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Solution

The fourth proportional to 470.56, 705.73 and 141.41 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 705.73 = 141.41 : x
  2. Step 2: Convert to fraction form
    470.56/705.73 = 141.41/x
  3. Step 3: Cross multiply
    470.56x = 705.73 × 141.41
  4. Step 4: Simplify right side
    470.56x = 99,797.28
  5. Step 5: Solve for x
    x = 99,797.28/470.56
  6. Step 6: Final answer
    x = 212.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.