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Finding the Fourth Proportional to 450.36, 621.42 and 263.84

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Solution

The fourth proportional to 450.36, 621.42 and 263.84 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 621.42 = 263.84 : x
  2. Step 2: Convert to fraction form
    450.36/621.42 = 263.84/x
  3. Step 3: Cross multiply
    450.36x = 621.42 × 263.84
  4. Step 4: Simplify right side
    450.36x = 163,955.45
  5. Step 5: Solve for x
    x = 163,955.45/450.36
  6. Step 6: Final answer
    x = 364.05

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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.