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Finding the Fourth Proportional to 443.12, 612.12 and 421.52

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Solution

The fourth proportional to 443.12, 612.12 and 421.52 is: 582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.12 : 612.12 = 421.52 : x
  2. Step 2: Convert to fraction form
    443.12/612.12 = 421.52/x
  3. Step 3: Cross multiply
    443.12x = 612.12 × 421.52
  4. Step 4: Simplify right side
    443.12x = 258,020.82
  5. Step 5: Solve for x
    x = 258,020.82/443.12
  6. Step 6: Final answer
    x = 582.28

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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.