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Finding the Fourth Proportional to 621.77, 932.85 and 333

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Solution

The fourth proportional to 621.77, 932.85 and 333 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.77 : 932.85 = 333 : x
  2. Step 2: Convert to fraction form
    621.77/932.85 = 333/x
  3. Step 3: Cross multiply
    621.77x = 932.85 × 333
  4. Step 4: Simplify right side
    621.77x = 310,639.05
  5. Step 5: Solve for x
    x = 310,639.05/621.77
  6. Step 6: Final answer
    x = 499.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.