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Finding the Fourth Proportional to 450.06, 621.39 and 302.96

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Solution

The fourth proportional to 450.06, 621.39 and 302.96 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 621.39 = 302.96 : x
  2. Step 2: Convert to fraction form
    450.06/621.39 = 302.96/x
  3. Step 3: Cross multiply
    450.06x = 621.39 × 302.96
  4. Step 4: Simplify right side
    450.06x = 188,253.21
  5. Step 5: Solve for x
    x = 188,253.21/450.06
  6. Step 6: Final answer
    x = 418.28

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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.