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Finding the Fourth Proportional to 377.36, 519.76 and 288.93

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Solution

The fourth proportional to 377.36, 519.76 and 288.93 is: 397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.36 : 519.76 = 288.93 : x
  2. Step 2: Convert to fraction form
    377.36/519.76 = 288.93/x
  3. Step 3: Cross multiply
    377.36x = 519.76 × 288.93
  4. Step 4: Simplify right side
    377.36x = 150,176.57
  5. Step 5: Solve for x
    x = 150,176.57/377.36
  6. Step 6: Final answer
    x = 397.97

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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.