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Finding the Fourth Proportional to 682.23, 941.54 and 416.67

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Solution

The fourth proportional to 682.23, 941.54 and 416.67 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.23 : 941.54 = 416.67 : x
  2. Step 2: Convert to fraction form
    682.23/941.54 = 416.67/x
  3. Step 3: Cross multiply
    682.23x = 941.54 × 416.67
  4. Step 4: Simplify right side
    682.23x = 392,309.39
  5. Step 5: Solve for x
    x = 392,309.39/682.23
  6. Step 6: Final answer
    x = 575.04

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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.