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Finding the Fourth Proportional to 315.88, 436.30 and 232.86

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Solution

The fourth proportional to 315.88, 436.30 and 232.86 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.88 : 436.30 = 232.86 : x
  2. Step 2: Convert to fraction form
    315.88/436.30 = 232.86/x
  3. Step 3: Cross multiply
    315.88x = 436.30 × 232.86
  4. Step 4: Simplify right side
    315.88x = 101,596.82
  5. Step 5: Solve for x
    x = 101,596.82/315.88
  6. Step 6: Final answer
    x = 321.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.