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Finding the Fourth Proportional to 313.02, 431.73 and 271.51

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Solution

The fourth proportional to 313.02, 431.73 and 271.51 is: 374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 431.73 = 271.51 : x
  2. Step 2: Convert to fraction form
    313.02/431.73 = 271.51/x
  3. Step 3: Cross multiply
    313.02x = 431.73 × 271.51
  4. Step 4: Simplify right side
    313.02x = 117,219.01
  5. Step 5: Solve for x
    x = 117,219.01/313.02
  6. Step 6: Final answer
    x = 374.48

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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.