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Finding the Fourth Proportional to 712.32, 982.44 and 450.42

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Solution

The fourth proportional to 712.32, 982.44 and 450.42 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 982.44 = 450.42 : x
  2. Step 2: Convert to fraction form
    712.32/982.44 = 450.42/x
  3. Step 3: Cross multiply
    712.32x = 982.44 × 450.42
  4. Step 4: Simplify right side
    712.32x = 442,510.62
  5. Step 5: Solve for x
    x = 442,510.62/712.32
  6. Step 6: Final answer
    x = 621.22

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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.