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Finding the Fourth Proportional to 597.52, 825.24 and 589.42

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Solution

The fourth proportional to 597.52, 825.24 and 589.42 is: 814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 825.24 = 589.42 : x
  2. Step 2: Convert to fraction form
    597.52/825.24 = 589.42/x
  3. Step 3: Cross multiply
    597.52x = 825.24 × 589.42
  4. Step 4: Simplify right side
    597.52x = 486,412.96
  5. Step 5: Solve for x
    x = 486,412.96/597.52
  6. Step 6: Final answer
    x = 814.05

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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.