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Finding the Fourth Proportional to 380.27, 569.73 and 258.77

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Solution

The fourth proportional to 380.27, 569.73 and 258.77 is: 387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.27 : 569.73 = 258.77 : x
  2. Step 2: Convert to fraction form
    380.27/569.73 = 258.77/x
  3. Step 3: Cross multiply
    380.27x = 569.73 × 258.77
  4. Step 4: Simplify right side
    380.27x = 147,429.03
  5. Step 5: Solve for x
    x = 147,429.03/380.27
  6. Step 6: Final answer
    x = 387.70

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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.