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Finding the Fourth Proportional to 458.21, 631.64 and 359.79

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Solution

The fourth proportional to 458.21, 631.64 and 359.79 is: 495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.21 : 631.64 = 359.79 : x
  2. Step 2: Convert to fraction form
    458.21/631.64 = 359.79/x
  3. Step 3: Cross multiply
    458.21x = 631.64 × 359.79
  4. Step 4: Simplify right side
    458.21x = 227,255.96
  5. Step 5: Solve for x
    x = 227,255.96/458.21
  6. Step 6: Final answer
    x = 495.97

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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.