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Finding the Fourth Proportional to 471.23, 707.05 and 211.22

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Solution

The fourth proportional to 471.23, 707.05 and 211.22 is: 316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.23 : 707.05 = 211.22 : x
  2. Step 2: Convert to fraction form
    471.23/707.05 = 211.22/x
  3. Step 3: Cross multiply
    471.23x = 707.05 × 211.22
  4. Step 4: Simplify right side
    471.23x = 149,341.29
  5. Step 5: Solve for x
    x = 149,341.29/471.23
  6. Step 6: Final answer
    x = 316.92

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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.