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Finding the Fourth Proportional to 716.19, 988.21 and 401.40

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Solution

The fourth proportional to 716.19, 988.21 and 401.40 is: 553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.19 : 988.21 = 401.40 : x
  2. Step 2: Convert to fraction form
    716.19/988.21 = 401.40/x
  3. Step 3: Cross multiply
    716.19x = 988.21 × 401.40
  4. Step 4: Simplify right side
    716.19x = 396,667.49
  5. Step 5: Solve for x
    x = 396,667.49/716.19
  6. Step 6: Final answer
    x = 553.86

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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.