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Finding the Fourth Proportional to 450.74, 621.83 and 333

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Solution

The fourth proportional to 450.74, 621.83 and 333 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.74 : 621.83 = 333 : x
  2. Step 2: Convert to fraction form
    450.74/621.83 = 333/x
  3. Step 3: Cross multiply
    450.74x = 621.83 × 333
  4. Step 4: Simplify right side
    450.74x = 207,069.39
  5. Step 5: Solve for x
    x = 207,069.39/450.74
  6. Step 6: Final answer
    x = 459.40

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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.