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Finding the Fourth Proportional to 608.82, 840.30 and 412.22

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Solution

The fourth proportional to 608.82, 840.30 and 412.22 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 840.30 = 412.22 : x
  2. Step 2: Convert to fraction form
    608.82/840.30 = 412.22/x
  3. Step 3: Cross multiply
    608.82x = 840.30 × 412.22
  4. Step 4: Simplify right side
    608.82x = 346,388.47
  5. Step 5: Solve for x
    x = 346,388.47/608.82
  6. Step 6: Final answer
    x = 568.95

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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.