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Finding the Fourth Proportional to 504.35, 756.94 and 257.73

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Solution

The fourth proportional to 504.35, 756.94 and 257.73 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.35 : 756.94 = 257.73 : x
  2. Step 2: Convert to fraction form
    504.35/756.94 = 257.73/x
  3. Step 3: Cross multiply
    504.35x = 756.94 × 257.73
  4. Step 4: Simplify right side
    504.35x = 195,087.77
  5. Step 5: Solve for x
    x = 195,087.77/504.35
  6. Step 6: Final answer
    x = 386.81

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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.