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Finding the Fourth Proportional to 442.58, 611.48 and 332.42

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Solution

The fourth proportional to 442.58, 611.48 and 332.42 is: 459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.58 : 611.48 = 332.42 : x
  2. Step 2: Convert to fraction form
    442.58/611.48 = 332.42/x
  3. Step 3: Cross multiply
    442.58x = 611.48 × 332.42
  4. Step 4: Simplify right side
    442.58x = 203,265.96
  5. Step 5: Solve for x
    x = 203,265.96/442.58
  6. Step 6: Final answer
    x = 459.28

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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.