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Finding the Fourth Proportional to 371.12, 511.84 and 305.51

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Solution

The fourth proportional to 371.12, 511.84 and 305.51 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 511.84 = 305.51 : x
  2. Step 2: Convert to fraction form
    371.12/511.84 = 305.51/x
  3. Step 3: Cross multiply
    371.12x = 511.84 × 305.51
  4. Step 4: Simplify right side
    371.12x = 156,372.24
  5. Step 5: Solve for x
    x = 156,372.24/371.12
  6. Step 6: Final answer
    x = 421.35

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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.