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Finding the Fourth Proportional to 330.64, 455.45 and 256.82

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Solution

The fourth proportional to 330.64, 455.45 and 256.82 is: 353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 455.45 = 256.82 : x
  2. Step 2: Convert to fraction form
    330.64/455.45 = 256.82/x
  3. Step 3: Cross multiply
    330.64x = 455.45 × 256.82
  4. Step 4: Simplify right side
    330.64x = 116,965.11
  5. Step 5: Solve for x
    x = 116,965.11/330.64
  6. Step 6: Final answer
    x = 353.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.