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Finding the Fourth Proportional to 450.18, 620.84 and 302.80

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Solution

The fourth proportional to 450.18, 620.84 and 302.80 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.18 : 620.84 = 302.80 : x
  2. Step 2: Convert to fraction form
    450.18/620.84 = 302.80/x
  3. Step 3: Cross multiply
    450.18x = 620.84 × 302.80
  4. Step 4: Simplify right side
    450.18x = 187,990.35
  5. Step 5: Solve for x
    x = 187,990.35/450.18
  6. Step 6: Final answer
    x = 417.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.