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Finding the Fourth Proportional to 330.96, 456.84 and 214.50

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Solution

The fourth proportional to 330.96, 456.84 and 214.50 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 456.84 = 214.50 : x
  2. Step 2: Convert to fraction form
    330.96/456.84 = 214.50/x
  3. Step 3: Cross multiply
    330.96x = 456.84 × 214.50
  4. Step 4: Simplify right side
    330.96x = 97,992.18
  5. Step 5: Solve for x
    x = 97,992.18/330.96
  6. Step 6: Final answer
    x = 296.08

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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.