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Finding the Fourth Proportional to 451.94, 678.00 and 257.03

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Solution

The fourth proportional to 451.94, 678.00 and 257.03 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.94 : 678.00 = 257.03 : x
  2. Step 2: Convert to fraction form
    451.94/678.00 = 257.03/x
  3. Step 3: Cross multiply
    451.94x = 678.00 × 257.03
  4. Step 4: Simplify right side
    451.94x = 174,261.66
  5. Step 5: Solve for x
    x = 174,261.66/451.94
  6. Step 6: Final answer
    x = 385.59

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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.