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Finding the Fourth Proportional to 682.47, 941.60 and 420.48

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Solution

The fourth proportional to 682.47, 941.60 and 420.48 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.47 : 941.60 = 420.48 : x
  2. Step 2: Convert to fraction form
    682.47/941.60 = 420.48/x
  3. Step 3: Cross multiply
    682.47x = 941.60 × 420.48
  4. Step 4: Simplify right side
    682.47x = 395,925.02
  5. Step 5: Solve for x
    x = 395,925.02/682.47
  6. Step 6: Final answer
    x = 580.14

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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.