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Finding the Fourth Proportional to 416.81, 623.58 and 301.47

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Solution

The fourth proportional to 416.81, 623.58 and 301.47 is: 451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 623.58 = 301.47 : x
  2. Step 2: Convert to fraction form
    416.81/623.58 = 301.47/x
  3. Step 3: Cross multiply
    416.81x = 623.58 × 301.47
  4. Step 4: Simplify right side
    416.81x = 187,990.66
  5. Step 5: Solve for x
    x = 187,990.66/416.81
  6. Step 6: Final answer
    x = 451.03

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Why These Related Problems?

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