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Finding the Fourth Proportional to 446.15, 615.80 and 271.51

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Solution

The fourth proportional to 446.15, 615.80 and 271.51 is: 374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.15 : 615.80 = 271.51 : x
  2. Step 2: Convert to fraction form
    446.15/615.80 = 271.51/x
  3. Step 3: Cross multiply
    446.15x = 615.80 × 271.51
  4. Step 4: Simplify right side
    446.15x = 167,195.00
  5. Step 5: Solve for x
    x = 167,195.00/446.15
  6. Step 6: Final answer
    x = 374.75

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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.