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Finding the Fourth Proportional to 376.51, 519.56 and 210.70

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Solution

The fourth proportional to 376.51, 519.56 and 210.70 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.51 : 519.56 = 210.70 : x
  2. Step 2: Convert to fraction form
    376.51/519.56 = 210.70/x
  3. Step 3: Cross multiply
    376.51x = 519.56 × 210.70
  4. Step 4: Simplify right side
    376.51x = 109,470.52
  5. Step 5: Solve for x
    x = 109,470.52/376.51
  6. Step 6: Final answer
    x = 290.75

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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.