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Finding the Fourth Proportional to 597.65, 825.38 and 411.62

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Solution

The fourth proportional to 597.65, 825.38 and 411.62 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.65 : 825.38 = 411.62 : x
  2. Step 2: Convert to fraction form
    597.65/825.38 = 411.62/x
  3. Step 3: Cross multiply
    597.65x = 825.38 × 411.62
  4. Step 4: Simplify right side
    597.65x = 339,742.92
  5. Step 5: Solve for x
    x = 339,742.92/597.65
  6. Step 6: Final answer
    x = 568.46

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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.