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Finding the Fourth Proportional to 380.36, 524.35 and 269.79

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Solution

The fourth proportional to 380.36, 524.35 and 269.79 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 524.35 = 269.79 : x
  2. Step 2: Convert to fraction form
    380.36/524.35 = 269.79/x
  3. Step 3: Cross multiply
    380.36x = 524.35 × 269.79
  4. Step 4: Simplify right side
    380.36x = 141,464.72
  5. Step 5: Solve for x
    x = 141,464.72/380.36
  6. Step 6: Final answer
    x = 371.93

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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.