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Finding the Fourth Proportional to 388.14, 535.23 and 299.63

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Solution

The fourth proportional to 388.14, 535.23 and 299.63 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.14 : 535.23 = 299.63 : x
  2. Step 2: Convert to fraction form
    388.14/535.23 = 299.63/x
  3. Step 3: Cross multiply
    388.14x = 535.23 × 299.63
  4. Step 4: Simplify right side
    388.14x = 160,370.96
  5. Step 5: Solve for x
    x = 160,370.96/388.14
  6. Step 6: Final answer
    x = 413.18

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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.