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Finding the Fourth Proportional to 458.22, 685.46 and 334.06

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Solution

The fourth proportional to 458.22, 685.46 and 334.06 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.22 : 685.46 = 334.06 : x
  2. Step 2: Convert to fraction form
    458.22/685.46 = 334.06/x
  3. Step 3: Cross multiply
    458.22x = 685.46 × 334.06
  4. Step 4: Simplify right side
    458.22x = 228,984.77
  5. Step 5: Solve for x
    x = 228,984.77/458.22
  6. Step 6: Final answer
    x = 499.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.