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Finding the Fourth Proportional to 589.98, 814.25 and 412.90

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Solution

The fourth proportional to 589.98, 814.25 and 412.90 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.98 : 814.25 = 412.90 : x
  2. Step 2: Convert to fraction form
    589.98/814.25 = 412.90/x
  3. Step 3: Cross multiply
    589.98x = 814.25 × 412.90
  4. Step 4: Simplify right side
    589.98x = 336,202.82
  5. Step 5: Solve for x
    x = 336,202.82/589.98
  6. Step 6: Final answer
    x = 569.85

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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.