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Finding the Fourth Proportional to 595.86, 822.27 and 330.33

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Solution

The fourth proportional to 595.86, 822.27 and 330.33 is: 455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 822.27 = 330.33 : x
  2. Step 2: Convert to fraction form
    595.86/822.27 = 330.33/x
  3. Step 3: Cross multiply
    595.86x = 822.27 × 330.33
  4. Step 4: Simplify right side
    595.86x = 271,620.45
  5. Step 5: Solve for x
    x = 271,620.45/595.86
  6. Step 6: Final answer
    x = 455.85

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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.