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Finding the Fourth Proportional to 595, 821.12 and 333

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Solution

The fourth proportional to 595, 821.12 and 333 is: 459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595 : 821.12 = 333 : x
  2. Step 2: Convert to fraction form
    595/821.12 = 333/x
  3. Step 3: Cross multiply
    595x = 821.12 × 333
  4. Step 4: Simplify right side
    595x = 273,432.96
  5. Step 5: Solve for x
    x = 273,432.96/595
  6. Step 6: Final answer
    x = 459.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.