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Finding the Fourth Proportional to 371.37, 513 and 301.35

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Solution

The fourth proportional to 371.37, 513 and 301.35 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.37 : 513 = 301.35 : x
  2. Step 2: Convert to fraction form
    371.37/513 = 301.35/x
  3. Step 3: Cross multiply
    371.37x = 513 × 301.35
  4. Step 4: Simplify right side
    371.37x = 154,592.55
  5. Step 5: Solve for x
    x = 154,592.55/371.37
  6. Step 6: Final answer
    x = 416.28

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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.