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Finding the Fourth Proportional to 711.65, 982.24 and 397.02

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Solution

The fourth proportional to 711.65, 982.24 and 397.02 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.65 : 982.24 = 397.02 : x
  2. Step 2: Convert to fraction form
    711.65/982.24 = 397.02/x
  3. Step 3: Cross multiply
    711.65x = 982.24 × 397.02
  4. Step 4: Simplify right side
    711.65x = 389,969.40
  5. Step 5: Solve for x
    x = 389,969.40/711.65
  6. Step 6: Final answer
    x = 547.98

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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.