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Finding the Fourth Proportional to 314.97, 471.84 and 271.64

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Solution

The fourth proportional to 314.97, 471.84 and 271.64 is: 406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.97 : 471.84 = 271.64 : x
  2. Step 2: Convert to fraction form
    314.97/471.84 = 271.64/x
  3. Step 3: Cross multiply
    314.97x = 471.84 × 271.64
  4. Step 4: Simplify right side
    314.97x = 128,168.26
  5. Step 5: Solve for x
    x = 128,168.26/314.97
  6. Step 6: Final answer
    x = 406.92

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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.