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Finding the Fourth Proportional to 712.26, 983.21 and 446.72

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Solution

The fourth proportional to 712.26, 983.21 and 446.72 is: 616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.26 : 983.21 = 446.72 : x
  2. Step 2: Convert to fraction form
    712.26/983.21 = 446.72/x
  3. Step 3: Cross multiply
    712.26x = 983.21 × 446.72
  4. Step 4: Simplify right side
    712.26x = 439,212.42
  5. Step 5: Solve for x
    x = 439,212.42/712.26
  6. Step 6: Final answer
    x = 616.65

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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.