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Finding the Fourth Proportional to 474.36, 711.63 and 257.82

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Solution

The fourth proportional to 474.36, 711.63 and 257.82 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.36 : 711.63 = 257.82 : x
  2. Step 2: Convert to fraction form
    474.36/711.63 = 257.82/x
  3. Step 3: Cross multiply
    474.36x = 711.63 × 257.82
  4. Step 4: Simplify right side
    474.36x = 183,472.45
  5. Step 5: Solve for x
    x = 183,472.45/474.36
  6. Step 6: Final answer
    x = 386.78

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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.