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Finding the Fourth Proportional to 330.36, 454.74 and 275.24

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Solution

The fourth proportional to 330.36, 454.74 and 275.24 is: 378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 454.74 = 275.24 : x
  2. Step 2: Convert to fraction form
    330.36/454.74 = 275.24/x
  3. Step 3: Cross multiply
    330.36x = 454.74 × 275.24
  4. Step 4: Simplify right side
    330.36x = 125,160.36
  5. Step 5: Solve for x
    x = 125,160.36/330.36
  6. Step 6: Final answer
    x = 378.86

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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.