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Finding the Fourth Proportional to 716.51, 988.79 and 406.01

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Solution

The fourth proportional to 716.51, 988.79 and 406.01 is: 560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.51 : 988.79 = 406.01 : x
  2. Step 2: Convert to fraction form
    716.51/988.79 = 406.01/x
  3. Step 3: Cross multiply
    716.51x = 988.79 × 406.01
  4. Step 4: Simplify right side
    716.51x = 401,451.65
  5. Step 5: Solve for x
    x = 401,451.65/716.51
  6. Step 6: Final answer
    x = 560.29

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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.