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Finding the Fourth Proportional to 471.94, 651.45 and 275.74

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Solution

The fourth proportional to 471.94, 651.45 and 275.74 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.94 : 651.45 = 275.74 : x
  2. Step 2: Convert to fraction form
    471.94/651.45 = 275.74/x
  3. Step 3: Cross multiply
    471.94x = 651.45 × 275.74
  4. Step 4: Simplify right side
    471.94x = 179,630.82
  5. Step 5: Solve for x
    x = 179,630.82/471.94
  6. Step 6: Final answer
    x = 380.62

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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.