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Finding the Fourth Proportional to 376.70, 520.16 and 237.06

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Solution

The fourth proportional to 376.70, 520.16 and 237.06 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.70 : 520.16 = 237.06 : x
  2. Step 2: Convert to fraction form
    376.70/520.16 = 237.06/x
  3. Step 3: Cross multiply
    376.70x = 520.16 × 237.06
  4. Step 4: Simplify right side
    376.70x = 123,307.94
  5. Step 5: Solve for x
    x = 123,307.94/376.70
  6. Step 6: Final answer
    x = 327.34

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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.