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Finding the Fourth Proportional to 376.14, 519.07 and 210.35

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Solution

The fourth proportional to 376.14, 519.07 and 210.35 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.14 : 519.07 = 210.35 : x
  2. Step 2: Convert to fraction form
    376.14/519.07 = 210.35/x
  3. Step 3: Cross multiply
    376.14x = 519.07 × 210.35
  4. Step 4: Simplify right side
    376.14x = 109,186.37
  5. Step 5: Solve for x
    x = 109,186.37/376.14
  6. Step 6: Final answer
    x = 290.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.