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Finding the Fourth Proportional to 380.45, 525.08 and 269.93

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Solution

The fourth proportional to 380.45, 525.08 and 269.93 is: 372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.45 : 525.08 = 269.93 : x
  2. Step 2: Convert to fraction form
    380.45/525.08 = 269.93/x
  3. Step 3: Cross multiply
    380.45x = 525.08 × 269.93
  4. Step 4: Simplify right side
    380.45x = 141,732.89
  5. Step 5: Solve for x
    x = 141,732.89/380.45
  6. Step 6: Final answer
    x = 372.55

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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.