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Finding the Fourth Proportional to 682.59, 942.14 and 417.03

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Solution

The fourth proportional to 682.59, 942.14 and 417.03 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.59 : 942.14 = 417.03 : x
  2. Step 2: Convert to fraction form
    682.59/942.14 = 417.03/x
  3. Step 3: Cross multiply
    682.59x = 942.14 × 417.03
  4. Step 4: Simplify right side
    682.59x = 392,893.85
  5. Step 5: Solve for x
    x = 392,893.85/682.59
  6. Step 6: Final answer
    x = 575.60

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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.