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Finding the Fourth Proportional to 377.94, 567.39 and 241.26

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Solution

The fourth proportional to 377.94, 567.39 and 241.26 is: 362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.94 : 567.39 = 241.26 : x
  2. Step 2: Convert to fraction form
    377.94/567.39 = 241.26/x
  3. Step 3: Cross multiply
    377.94x = 567.39 × 241.26
  4. Step 4: Simplify right side
    377.94x = 136,888.51
  5. Step 5: Solve for x
    x = 136,888.51/377.94
  6. Step 6: Final answer
    x = 362.20

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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.