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Finding the Fourth Proportional to 597.70, 824.41 and 421.03

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Solution

The fourth proportional to 597.70, 824.41 and 421.03 is: 580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.70 : 824.41 = 421.03 : x
  2. Step 2: Convert to fraction form
    597.70/824.41 = 421.03/x
  3. Step 3: Cross multiply
    597.70x = 824.41 × 421.03
  4. Step 4: Simplify right side
    597.70x = 347,101.34
  5. Step 5: Solve for x
    x = 347,101.34/597.70
  6. Step 6: Final answer
    x = 580.73

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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.