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Finding the Fourth Proportional to 682.54, 942.01 and 417.14

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Solution

The fourth proportional to 682.54, 942.01 and 417.14 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.54 : 942.01 = 417.14 : x
  2. Step 2: Convert to fraction form
    682.54/942.01 = 417.14/x
  3. Step 3: Cross multiply
    682.54x = 942.01 × 417.14
  4. Step 4: Simplify right side
    682.54x = 392,943.26
  5. Step 5: Solve for x
    x = 392,943.26/682.54
  6. Step 6: Final answer
    x = 575.71

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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.