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Finding the Fourth Proportional to 594.42, 820.52 and 447.48

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Solution

The fourth proportional to 594.42, 820.52 and 447.48 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 820.52 = 447.48 : x
  2. Step 2: Convert to fraction form
    594.42/820.52 = 447.48/x
  3. Step 3: Cross multiply
    594.42x = 820.52 × 447.48
  4. Step 4: Simplify right side
    594.42x = 367,164.05
  5. Step 5: Solve for x
    x = 367,164.05/594.42
  6. Step 6: Final answer
    x = 617.68

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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.