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Finding the Fourth Proportional to 470.90, 705.86 and 211.04

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Solution

The fourth proportional to 470.90, 705.86 and 211.04 is: 316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 705.86 = 211.04 : x
  2. Step 2: Convert to fraction form
    470.90/705.86 = 211.04/x
  3. Step 3: Cross multiply
    470.90x = 705.86 × 211.04
  4. Step 4: Simplify right side
    470.90x = 148,964.69
  5. Step 5: Solve for x
    x = 148,964.69/470.90
  6. Step 6: Final answer
    x = 316.34

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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.