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Finding the Fourth Proportional to 682.36, 941.41 and 416.69

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Solution

The fourth proportional to 682.36, 941.41 and 416.69 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 941.41 = 416.69 : x
  2. Step 2: Convert to fraction form
    682.36/941.41 = 416.69/x
  3. Step 3: Cross multiply
    682.36x = 941.41 × 416.69
  4. Step 4: Simplify right side
    682.36x = 392,276.13
  5. Step 5: Solve for x
    x = 392,276.13/682.36
  6. Step 6: Final answer
    x = 574.88

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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.