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Finding the Fourth Proportional to 314.54, 433.32 and 299.96

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Solution

The fourth proportional to 314.54, 433.32 and 299.96 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 433.32 = 299.96 : x
  2. Step 2: Convert to fraction form
    314.54/433.32 = 299.96/x
  3. Step 3: Cross multiply
    314.54x = 433.32 × 299.96
  4. Step 4: Simplify right side
    314.54x = 129,976.50
  5. Step 5: Solve for x
    x = 129,976.50/314.54
  6. Step 6: Final answer
    x = 413.23

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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.