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Finding the Fourth Proportional to 377.14, 519.71 and 272.05

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Solution

The fourth proportional to 377.14, 519.71 and 272.05 is: 374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 519.71 = 272.05 : x
  2. Step 2: Convert to fraction form
    377.14/519.71 = 272.05/x
  3. Step 3: Cross multiply
    377.14x = 519.71 × 272.05
  4. Step 4: Simplify right side
    377.14x = 141,384.51
  5. Step 5: Solve for x
    x = 141,384.51/377.14
  6. Step 6: Final answer
    x = 374.89

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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.