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Finding the Fourth Proportional to 471.83, 651.06 and 275.36

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Solution

The fourth proportional to 471.83, 651.06 and 275.36 is: 379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.83 : 651.06 = 275.36 : x
  2. Step 2: Convert to fraction form
    471.83/651.06 = 275.36/x
  3. Step 3: Cross multiply
    471.83x = 651.06 × 275.36
  4. Step 4: Simplify right side
    471.83x = 179,272.63
  5. Step 5: Solve for x
    x = 179,272.63/471.83
  6. Step 6: Final answer
    x = 379.96

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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.