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Finding the Fourth Proportional to 275.40, 415.35 and 246.60

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Solution

The fourth proportional to 275.40, 415.35 and 246.60 is: 371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 415.35 = 246.60 : x
  2. Step 2: Convert to fraction form
    275.40/415.35 = 246.60/x
  3. Step 3: Cross multiply
    275.40x = 415.35 × 246.60
  4. Step 4: Simplify right side
    275.40x = 102,425.31
  5. Step 5: Solve for x
    x = 102,425.31/275.40
  6. Step 6: Final answer
    x = 371.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.