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Finding the Fourth Proportional to 599.04, 825.80 and 412.25

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Solution

The fourth proportional to 599.04, 825.80 and 412.25 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 825.80 = 412.25 : x
  2. Step 2: Convert to fraction form
    599.04/825.80 = 412.25/x
  3. Step 3: Cross multiply
    599.04x = 825.80 × 412.25
  4. Step 4: Simplify right side
    599.04x = 340,429.86
  5. Step 5: Solve for x
    x = 340,429.86/599.04
  6. Step 6: Final answer
    x = 568.29

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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.