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Finding the Fourth Proportional to 597.90, 825.48 and 374.07

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Solution

The fourth proportional to 597.90, 825.48 and 374.07 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.90 : 825.48 = 374.07 : x
  2. Step 2: Convert to fraction form
    597.90/825.48 = 374.07/x
  3. Step 3: Cross multiply
    597.90x = 825.48 × 374.07
  4. Step 4: Simplify right side
    597.90x = 308,787.30
  5. Step 5: Solve for x
    x = 308,787.30/597.90
  6. Step 6: Final answer
    x = 516.45

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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.