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Finding the Fourth Proportional to 682.06, 941.52 and 420.10

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Solution

The fourth proportional to 682.06, 941.52 and 420.10 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 941.52 = 420.10 : x
  2. Step 2: Convert to fraction form
    682.06/941.52 = 420.10/x
  3. Step 3: Cross multiply
    682.06x = 941.52 × 420.10
  4. Step 4: Simplify right side
    682.06x = 395,532.55
  5. Step 5: Solve for x
    x = 395,532.55/682.06
  6. Step 6: Final answer
    x = 579.91

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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.