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Finding the Fourth Proportional to 712.72, 983.23 and 417.81

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Solution

The fourth proportional to 712.72, 983.23 and 417.81 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 983.23 = 417.81 : x
  2. Step 2: Convert to fraction form
    712.72/983.23 = 417.81/x
  3. Step 3: Cross multiply
    712.72x = 983.23 × 417.81
  4. Step 4: Simplify right side
    712.72x = 410,803.33
  5. Step 5: Solve for x
    x = 410,803.33/712.72
  6. Step 6: Final answer
    x = 576.39

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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.