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Finding the Fourth Proportional to 450.32, 621.23 and 253.78

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Solution

The fourth proportional to 450.32, 621.23 and 253.78 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 621.23 = 253.78 : x
  2. Step 2: Convert to fraction form
    450.32/621.23 = 253.78/x
  3. Step 3: Cross multiply
    450.32x = 621.23 × 253.78
  4. Step 4: Simplify right side
    450.32x = 157,652.93
  5. Step 5: Solve for x
    x = 157,652.93/450.32
  6. Step 6: Final answer
    x = 350.09

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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.