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Finding the Fourth Proportional to 395.57, 591.93 and 232.35

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Solution

The fourth proportional to 395.57, 591.93 and 232.35 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.57 : 591.93 = 232.35 : x
  2. Step 2: Convert to fraction form
    395.57/591.93 = 232.35/x
  3. Step 3: Cross multiply
    395.57x = 591.93 × 232.35
  4. Step 4: Simplify right side
    395.57x = 137,534.94
  5. Step 5: Solve for x
    x = 137,534.94/395.57
  6. Step 6: Final answer
    x = 347.69

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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.