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Finding the Fourth Proportional to 415.62, 626.43 and 397.09

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Solution

The fourth proportional to 415.62, 626.43 and 397.09 is: 598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.62 : 626.43 = 397.09 : x
  2. Step 2: Convert to fraction form
    415.62/626.43 = 397.09/x
  3. Step 3: Cross multiply
    415.62x = 626.43 × 397.09
  4. Step 4: Simplify right side
    415.62x = 248,749.09
  5. Step 5: Solve for x
    x = 248,749.09/415.62
  6. Step 6: Final answer
    x = 598.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.