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Finding the Fourth Proportional to 446.08, 615.60 and 271.60

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Solution

The fourth proportional to 446.08, 615.60 and 271.60 is: 374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.08 : 615.60 = 271.60 : x
  2. Step 2: Convert to fraction form
    446.08/615.60 = 271.60/x
  3. Step 3: Cross multiply
    446.08x = 615.60 × 271.60
  4. Step 4: Simplify right side
    446.08x = 167,196.96
  5. Step 5: Solve for x
    x = 167,196.96/446.08
  6. Step 6: Final answer
    x = 374.81

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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.