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Finding the Fourth Proportional to 607.97, 839.06 and 345.94

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Solution

The fourth proportional to 607.97, 839.06 and 345.94 is: 477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.97 : 839.06 = 345.94 : x
  2. Step 2: Convert to fraction form
    607.97/839.06 = 345.94/x
  3. Step 3: Cross multiply
    607.97x = 839.06 × 345.94
  4. Step 4: Simplify right side
    607.97x = 290,261.89
  5. Step 5: Solve for x
    x = 290,261.89/607.97
  6. Step 6: Final answer
    x = 477.43

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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.