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Finding the Fourth Proportional to 458.35, 685.90 and 335.09

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Solution

The fourth proportional to 458.35, 685.90 and 335.09 is: 501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.35 : 685.90 = 335.09 : x
  2. Step 2: Convert to fraction form
    458.35/685.90 = 335.09/x
  3. Step 3: Cross multiply
    458.35x = 685.90 × 335.09
  4. Step 4: Simplify right side
    458.35x = 229,840.36
  5. Step 5: Solve for x
    x = 229,840.36/458.35
  6. Step 6: Final answer
    x = 501.45

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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.