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Finding the Fourth Proportional to 446.04, 612.26 and 395.82

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Solution

The fourth proportional to 446.04, 612.26 and 395.82 is: 543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 612.26 = 395.82 : x
  2. Step 2: Convert to fraction form
    446.04/612.26 = 395.82/x
  3. Step 3: Cross multiply
    446.04x = 612.26 × 395.82
  4. Step 4: Simplify right side
    446.04x = 242,342.77
  5. Step 5: Solve for x
    x = 242,342.77/446.04
  6. Step 6: Final answer
    x = 543.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.