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Finding the Fourth Proportional to 595.78, 822.24 and 333.86

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Solution

The fourth proportional to 595.78, 822.24 and 333.86 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 822.24 = 333.86 : x
  2. Step 2: Convert to fraction form
    595.78/822.24 = 333.86/x
  3. Step 3: Cross multiply
    595.78x = 822.24 × 333.86
  4. Step 4: Simplify right side
    595.78x = 274,513.05
  5. Step 5: Solve for x
    x = 274,513.05/595.78
  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.