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Finding the Fourth Proportional to 595.91, 822.39 and 333.94

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Solution

The fourth proportional to 595.91, 822.39 and 333.94 is: 460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.91 : 822.39 = 333.94 : x
  2. Step 2: Convert to fraction form
    595.91/822.39 = 333.94/x
  3. Step 3: Cross multiply
    595.91x = 822.39 × 333.94
  4. Step 4: Simplify right side
    595.91x = 274,626.86
  5. Step 5: Solve for x
    x = 274,626.86/595.91
  6. Step 6: Final answer
    x = 460.86

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Why These Related Problems?

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