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Finding the Fourth Proportional to 471.29, 650.30 and 274.77

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Solution

The fourth proportional to 471.29, 650.30 and 274.77 is: 379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.29 : 650.30 = 274.77 : x
  2. Step 2: Convert to fraction form
    471.29/650.30 = 274.77/x
  3. Step 3: Cross multiply
    471.29x = 650.30 × 274.77
  4. Step 4: Simplify right side
    471.29x = 178,681.56
  5. Step 5: Solve for x
    x = 178,681.56/471.29
  6. Step 6: Final answer
    x = 379.14

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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.