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Finding the Fourth Proportional to 711.94, 982.49 and 409.16

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Solution

The fourth proportional to 711.94, 982.49 and 409.16 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 982.49 = 409.16 : x
  2. Step 2: Convert to fraction form
    711.94/982.49 = 409.16/x
  3. Step 3: Cross multiply
    711.94x = 982.49 × 409.16
  4. Step 4: Simplify right side
    711.94x = 401,988.65
  5. Step 5: Solve for x
    x = 401,988.65/711.94
  6. Step 6: Final answer
    x = 564.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.