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Finding the Fourth Proportional to 682.20, 941.46 and 416.58

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Solution

The fourth proportional to 682.20, 941.46 and 416.58 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 941.46 = 416.58 : x
  2. Step 2: Convert to fraction form
    682.20/941.46 = 416.58/x
  3. Step 3: Cross multiply
    682.20x = 941.46 × 416.58
  4. Step 4: Simplify right side
    682.20x = 392,193.41
  5. Step 5: Solve for x
    x = 392,193.41/682.20
  6. Step 6: Final answer
    x = 574.90

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1.5x scale

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.