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Finding the Fourth Proportional to 450.32, 621.42 and 263.81

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Solution

The fourth proportional to 450.32, 621.42 and 263.81 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 621.42 = 263.81 : x
  2. Step 2: Convert to fraction form
    450.32/621.42 = 263.81/x
  3. Step 3: Cross multiply
    450.32x = 621.42 × 263.81
  4. Step 4: Simplify right side
    450.32x = 163,936.81
  5. Step 5: Solve for x
    x = 163,936.81/450.32
  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.