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Finding the Fourth Proportional to 716.06, 988.10 and 401.33

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Solution

The fourth proportional to 716.06, 988.10 and 401.33 is: 553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 988.10 = 401.33 : x
  2. Step 2: Convert to fraction form
    716.06/988.10 = 401.33/x
  3. Step 3: Cross multiply
    716.06x = 988.10 × 401.33
  4. Step 4: Simplify right side
    716.06x = 396,547.23
  5. Step 5: Solve for x
    x = 396,547.23/716.06
  6. Step 6: Final answer
    x = 553.79

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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.