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Finding the Fourth Proportional to 417.23, 626.01 and 301.82

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Solution

The fourth proportional to 417.23, 626.01 and 301.82 is: 452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.23 : 626.01 = 301.82 : x
  2. Step 2: Convert to fraction form
    417.23/626.01 = 301.82/x
  3. Step 3: Cross multiply
    417.23x = 626.01 × 301.82
  4. Step 4: Simplify right side
    417.23x = 188,942.34
  5. Step 5: Solve for x
    x = 188,942.34/417.23
  6. Step 6: Final answer
    x = 452.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.