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Finding the Fourth Proportional to 471.74, 651.01 and 275.26

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Solution

The fourth proportional to 471.74, 651.01 and 275.26 is: 379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 651.01 = 275.26 : x
  2. Step 2: Convert to fraction form
    471.74/651.01 = 275.26/x
  3. Step 3: Cross multiply
    471.74x = 651.01 × 275.26
  4. Step 4: Simplify right side
    471.74x = 179,195.64
  5. Step 5: Solve for x
    x = 179,195.64/471.74
  6. Step 6: Final answer
    x = 379.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.