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Finding the Fourth Proportional to 379.88, 568.50 and 277.01

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Solution

The fourth proportional to 379.88, 568.50 and 277.01 is: 414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 568.50 = 277.01 : x
  2. Step 2: Convert to fraction form
    379.88/568.50 = 277.01/x
  3. Step 3: Cross multiply
    379.88x = 568.50 × 277.01
  4. Step 4: Simplify right side
    379.88x = 157,480.19
  5. Step 5: Solve for x
    x = 157,480.19/379.88
  6. Step 6: Final answer
    x = 414.55

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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.