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Finding the Fourth Proportional to 471.88, 707.43 and 212.02

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Solution

The fourth proportional to 471.88, 707.43 and 212.02 is: 317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.88 : 707.43 = 212.02 : x
  2. Step 2: Convert to fraction form
    471.88/707.43 = 212.02/x
  3. Step 3: Cross multiply
    471.88x = 707.43 × 212.02
  4. Step 4: Simplify right side
    471.88x = 149,988.34
  5. Step 5: Solve for x
    x = 149,988.34/471.88
  6. Step 6: Final answer
    x = 317.86

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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.