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Finding the Fourth Proportional to 471.06, 704.43 and 348.66

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Solution

The fourth proportional to 471.06, 704.43 and 348.66 is: 521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 704.43 = 348.66 : x
  2. Step 2: Convert to fraction form
    471.06/704.43 = 348.66/x
  3. Step 3: Cross multiply
    471.06x = 704.43 × 348.66
  4. Step 4: Simplify right side
    471.06x = 245,606.56
  5. Step 5: Solve for x
    x = 245,606.56/471.06
  6. Step 6: Final answer
    x = 521.39

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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.