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Finding the Fourth Proportional to 452, 676.36 and 288.92

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Solution

The fourth proportional to 452, 676.36 and 288.92 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 676.36 = 288.92 : x
  2. Step 2: Convert to fraction form
    452/676.36 = 288.92/x
  3. Step 3: Cross multiply
    452x = 676.36 × 288.92
  4. Step 4: Simplify right side
    452x = 195,413.93
  5. Step 5: Solve for x
    x = 195,413.93/452
  6. Step 6: Final answer
    x = 432.33

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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.