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Finding the Fourth Proportional to 330.64, 456.48 and 214.42

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Solution

The fourth proportional to 330.64, 456.48 and 214.42 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 456.48 = 214.42 : x
  2. Step 2: Convert to fraction form
    330.64/456.48 = 214.42/x
  3. Step 3: Cross multiply
    330.64x = 456.48 × 214.42
  4. Step 4: Simplify right side
    330.64x = 97,878.44
  5. Step 5: Solve for x
    x = 97,878.44/330.64
  6. Step 6: Final answer
    x = 296.03

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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.