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Finding the Fourth Proportional to 607.62, 839.43 and 490.98

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Solution

The fourth proportional to 607.62, 839.43 and 490.98 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.62 : 839.43 = 490.98 : x
  2. Step 2: Convert to fraction form
    607.62/839.43 = 490.98/x
  3. Step 3: Cross multiply
    607.62x = 839.43 × 490.98
  4. Step 4: Simplify right side
    607.62x = 412,143.34
  5. Step 5: Solve for x
    x = 412,143.34/607.62
  6. Step 6: Final answer
    x = 678.29

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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.