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Finding the Fourth Proportional to 380.21, 569.56 and 277.74

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Solution

The fourth proportional to 380.21, 569.56 and 277.74 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.21 : 569.56 = 277.74 : x
  2. Step 2: Convert to fraction form
    380.21/569.56 = 277.74/x
  3. Step 3: Cross multiply
    380.21x = 569.56 × 277.74
  4. Step 4: Simplify right side
    380.21x = 158,189.59
  5. Step 5: Solve for x
    x = 158,189.59/380.21
  6. Step 6: Final answer
    x = 416.06

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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.