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Finding the Fourth Proportional to 336.30, 464.04 and 203.46

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Solution

The fourth proportional to 336.30, 464.04 and 203.46 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 464.04 = 203.46 : x
  2. Step 2: Convert to fraction form
    336.30/464.04 = 203.46/x
  3. Step 3: Cross multiply
    336.30x = 464.04 × 203.46
  4. Step 4: Simplify right side
    336.30x = 94,413.58
  5. Step 5: Solve for x
    x = 94,413.58/336.30
  6. Step 6: Final answer
    x = 280.74

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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.