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Finding the Fourth Proportional to 309.34, 425.14 and 300.70

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Solution

The fourth proportional to 309.34, 425.14 and 300.70 is: 413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 425.14 = 300.70 : x
  2. Step 2: Convert to fraction form
    309.34/425.14 = 300.70/x
  3. Step 3: Cross multiply
    309.34x = 425.14 × 300.70
  4. Step 4: Simplify right side
    309.34x = 127,839.60
  5. Step 5: Solve for x
    x = 127,839.60/309.34
  6. Step 6: Final answer
    x = 413.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.