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Finding the Fourth Proportional to 712.34, 982.77 and 417.39

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Solution

The fourth proportional to 712.34, 982.77 and 417.39 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 982.77 = 417.39 : x
  2. Step 2: Convert to fraction form
    712.34/982.77 = 417.39/x
  3. Step 3: Cross multiply
    712.34x = 982.77 × 417.39
  4. Step 4: Simplify right side
    712.34x = 410,198.37
  5. Step 5: Solve for x
    x = 410,198.37/712.34
  6. Step 6: Final answer
    x = 575.85

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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.