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Finding the Fourth Proportional to 458.34, 685.89 and 349.26

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Solution

The fourth proportional to 458.34, 685.89 and 349.26 is: 522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 685.89 = 349.26 : x
  2. Step 2: Convert to fraction form
    458.34/685.89 = 349.26/x
  3. Step 3: Cross multiply
    458.34x = 685.89 × 349.26
  4. Step 4: Simplify right side
    458.34x = 239,553.94
  5. Step 5: Solve for x
    x = 239,553.94/458.34
  6. Step 6: Final answer
    x = 522.66

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