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Finding the Fourth Proportional to 450.06, 620.40 and 302.43

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Solution

The fourth proportional to 450.06, 620.40 and 302.43 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 620.40 = 302.43 : x
  2. Step 2: Convert to fraction form
    450.06/620.40 = 302.43/x
  3. Step 3: Cross multiply
    450.06x = 620.40 × 302.43
  4. Step 4: Simplify right side
    450.06x = 187,627.57
  5. Step 5: Solve for x
    x = 187,627.57/450.06
  6. Step 6: Final answer
    x = 416.89

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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.