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Finding the Fourth Proportional to 451.71, 623.37 and 294.42

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Solution

The fourth proportional to 451.71, 623.37 and 294.42 is: 406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.71 : 623.37 = 294.42 : x
  2. Step 2: Convert to fraction form
    451.71/623.37 = 294.42/x
  3. Step 3: Cross multiply
    451.71x = 623.37 × 294.42
  4. Step 4: Simplify right side
    451.71x = 183,532.60
  5. Step 5: Solve for x
    x = 183,532.60/451.71
  6. Step 6: Final answer
    x = 406.31

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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.