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Finding the Fourth Proportional to 330.85, 456.32 and 214.21

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Solution

The fourth proportional to 330.85, 456.32 and 214.21 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.85 : 456.32 = 214.21 : x
  2. Step 2: Convert to fraction form
    330.85/456.32 = 214.21/x
  3. Step 3: Cross multiply
    330.85x = 456.32 × 214.21
  4. Step 4: Simplify right side
    330.85x = 97,748.31
  5. Step 5: Solve for x
    x = 97,748.31/330.85
  6. Step 6: Final answer
    x = 295.45

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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.