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Finding the Fourth Proportional to 451.41, 623.06 and 294.23

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Solution

The fourth proportional to 451.41, 623.06 and 294.23 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 623.06 = 294.23 : x
  2. Step 2: Convert to fraction form
    451.41/623.06 = 294.23/x
  3. Step 3: Cross multiply
    451.41x = 623.06 × 294.23
  4. Step 4: Simplify right side
    451.41x = 183,324.13
  5. Step 5: Solve for x
    x = 183,324.13/451.41
  6. Step 6: Final answer
    x = 406.12

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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.