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Finding the Fourth Proportional to 597.72, 825.02 and 420.72

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Solution

The fourth proportional to 597.72, 825.02 and 420.72 is: 580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.72 : 825.02 = 420.72 : x
  2. Step 2: Convert to fraction form
    597.72/825.02 = 420.72/x
  3. Step 3: Cross multiply
    597.72x = 825.02 × 420.72
  4. Step 4: Simplify right side
    597.72x = 347,105.53
  5. Step 5: Solve for x
    x = 347,105.53/597.72
  6. Step 6: Final answer
    x = 580.71

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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.