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Finding the Fourth Proportional to 302.41, 452.36 and 276.54

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Solution

The fourth proportional to 302.41, 452.36 and 276.54 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.41 : 452.36 = 276.54 : x
  2. Step 2: Convert to fraction form
    302.41/452.36 = 276.54/x
  3. Step 3: Cross multiply
    302.41x = 452.36 × 276.54
  4. Step 4: Simplify right side
    302.41x = 125,096.33
  5. Step 5: Solve for x
    x = 125,096.33/302.41
  6. Step 6: Final answer
    x = 413.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.