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Finding the Fourth Proportional to 608.59, 839.73 and 412.30

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Solution

The fourth proportional to 608.59, 839.73 and 412.30 is: 568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.59 : 839.73 = 412.30 : x
  2. Step 2: Convert to fraction form
    608.59/839.73 = 412.30/x
  3. Step 3: Cross multiply
    608.59x = 839.73 × 412.30
  4. Step 4: Simplify right side
    608.59x = 346,220.68
  5. Step 5: Solve for x
    x = 346,220.68/608.59
  6. Step 6: Final answer
    x = 568.89

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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.