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Finding the Fourth Proportional to 607.62, 838.53 and 397.56

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Solution

The fourth proportional to 607.62, 838.53 and 397.56 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.62 : 838.53 = 397.56 : x
  2. Step 2: Convert to fraction form
    607.62/838.53 = 397.56/x
  3. Step 3: Cross multiply
    607.62x = 838.53 × 397.56
  4. Step 4: Simplify right side
    607.62x = 333,365.99
  5. Step 5: Solve for x
    x = 333,365.99/607.62
  6. Step 6: Final answer
    x = 548.64

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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.