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Finding the Fourth Proportional to 314.68, 431.92 and 301.31

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Solution

The fourth proportional to 314.68, 431.92 and 301.31 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.68 : 431.92 = 301.31 : x
  2. Step 2: Convert to fraction form
    314.68/431.92 = 301.31/x
  3. Step 3: Cross multiply
    314.68x = 431.92 × 301.31
  4. Step 4: Simplify right side
    314.68x = 130,141.82
  5. Step 5: Solve for x
    x = 130,141.82/314.68
  6. Step 6: Final answer
    x = 413.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.