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Finding the Fourth Proportional to 595.77, 822.16 and 333.78

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Solution

The fourth proportional to 595.77, 822.16 and 333.78 is: 460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.77 : 822.16 = 333.78 : x
  2. Step 2: Convert to fraction form
    595.77/822.16 = 333.78/x
  3. Step 3: Cross multiply
    595.77x = 822.16 × 333.78
  4. Step 4: Simplify right side
    595.77x = 274,418.90
  5. Step 5: Solve for x
    x = 274,418.90/595.77
  6. Step 6: Final answer
    x = 460.62

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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.