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Finding the Fourth Proportional to 450.34, 621.50 and 263.78

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Solution

The fourth proportional to 450.34, 621.50 and 263.78 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.34 : 621.50 = 263.78 : x
  2. Step 2: Convert to fraction form
    450.34/621.50 = 263.78/x
  3. Step 3: Cross multiply
    450.34x = 621.50 × 263.78
  4. Step 4: Simplify right side
    450.34x = 163,934.84
  5. Step 5: Solve for x
    x = 163,934.84/450.34
  6. Step 6: Final answer
    x = 364.03

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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.