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Finding the Fourth Proportional to 410.51, 615.37 and 191.16

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Solution

The fourth proportional to 410.51, 615.37 and 191.16 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.51 : 615.37 = 191.16 : x
  2. Step 2: Convert to fraction form
    410.51/615.37 = 191.16/x
  3. Step 3: Cross multiply
    410.51x = 615.37 × 191.16
  4. Step 4: Simplify right side
    410.51x = 117,634.13
  5. Step 5: Solve for x
    x = 117,634.13/410.51
  6. Step 6: Final answer
    x = 286.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.