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Finding the Fourth Proportional to 458.24, 631.82 and 379.64

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Solution

The fourth proportional to 458.24, 631.82 and 379.64 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.24 : 631.82 = 379.64 : x
  2. Step 2: Convert to fraction form
    458.24/631.82 = 379.64/x
  3. Step 3: Cross multiply
    458.24x = 631.82 × 379.64
  4. Step 4: Simplify right side
    458.24x = 239,864.54
  5. Step 5: Solve for x
    x = 239,864.54/458.24
  6. Step 6: Final answer
    x = 523.45

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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.