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Finding the Fourth Proportional to 682.67, 942.06 and 417.11

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Solution

The fourth proportional to 682.67, 942.06 and 417.11 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.67 : 942.06 = 417.11 : x
  2. Step 2: Convert to fraction form
    682.67/942.06 = 417.11/x
  3. Step 3: Cross multiply
    682.67x = 942.06 × 417.11
  4. Step 4: Simplify right side
    682.67x = 392,937.94
  5. Step 5: Solve for x
    x = 392,937.94/682.67
  6. Step 6: Final answer
    x = 575.59

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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.