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Finding the Fourth Proportional to 300.37, 413.59 and 256.02

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Solution

The fourth proportional to 300.37, 413.59 and 256.02 is: 352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.37 : 413.59 = 256.02 : x
  2. Step 2: Convert to fraction form
    300.37/413.59 = 256.02/x
  3. Step 3: Cross multiply
    300.37x = 413.59 × 256.02
  4. Step 4: Simplify right side
    300.37x = 105,886.03
  5. Step 5: Solve for x
    x = 105,886.03/300.37
  6. Step 6: Final answer
    x = 352.52

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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.