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Finding the Fourth Proportional to 595.86, 822.29 and 333.88

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Solution

The fourth proportional to 595.86, 822.29 and 333.88 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 822.29 = 333.88 : x
  2. Step 2: Convert to fraction form
    595.86/822.29 = 333.88/x
  3. Step 3: Cross multiply
    595.86x = 822.29 × 333.88
  4. Step 4: Simplify right side
    595.86x = 274,546.19
  5. Step 5: Solve for x
    x = 274,546.19/595.86
  6. Step 6: Final answer
    x = 460.76

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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.