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Finding the Fourth Proportional to 682.29, 940.92 and 458.73

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Solution

The fourth proportional to 682.29, 940.92 and 458.73 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 940.92 = 458.73 : x
  2. Step 2: Convert to fraction form
    682.29/940.92 = 458.73/x
  3. Step 3: Cross multiply
    682.29x = 940.92 × 458.73
  4. Step 4: Simplify right side
    682.29x = 431,626.51
  5. Step 5: Solve for x
    x = 431,626.51/682.29
  6. Step 6: Final answer
    x = 632.61

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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.