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Finding the Fourth Proportional to 446.39, 615.79 and 304.48

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Solution

The fourth proportional to 446.39, 615.79 and 304.48 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.39 : 615.79 = 304.48 : x
  2. Step 2: Convert to fraction form
    446.39/615.79 = 304.48/x
  3. Step 3: Cross multiply
    446.39x = 615.79 × 304.48
  4. Step 4: Simplify right side
    446.39x = 187,495.74
  5. Step 5: Solve for x
    x = 187,495.74/446.39
  6. Step 6: Final answer
    x = 420.03

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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.