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Finding the Fourth Proportional to 299.76, 413.52 and 278.88

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Solution

The fourth proportional to 299.76, 413.52 and 278.88 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 413.52 = 278.88 : x
  2. Step 2: Convert to fraction form
    299.76/413.52 = 278.88/x
  3. Step 3: Cross multiply
    299.76x = 413.52 × 278.88
  4. Step 4: Simplify right side
    299.76x = 115,322.46
  5. Step 5: Solve for x
    x = 115,322.46/299.76
  6. Step 6: Final answer
    x = 384.72

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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.