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Finding the Fourth Proportional to 451.77, 623.70 and 294.63

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Solution

The fourth proportional to 451.77, 623.70 and 294.63 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.77 : 623.70 = 294.63 : x
  2. Step 2: Convert to fraction form
    451.77/623.70 = 294.63/x
  3. Step 3: Cross multiply
    451.77x = 623.70 × 294.63
  4. Step 4: Simplify right side
    451.77x = 183,760.73
  5. Step 5: Solve for x
    x = 183,760.73/451.77
  6. Step 6: Final answer
    x = 406.76

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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.