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Finding the Fourth Proportional to 330.62, 456.28 and 214.52

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Solution

The fourth proportional to 330.62, 456.28 and 214.52 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.62 : 456.28 = 214.52 : x
  2. Step 2: Convert to fraction form
    330.62/456.28 = 214.52/x
  3. Step 3: Cross multiply
    330.62x = 456.28 × 214.52
  4. Step 4: Simplify right side
    330.62x = 97,881.19
  5. Step 5: Solve for x
    x = 97,881.19/330.62
  6. Step 6: Final answer
    x = 296.05

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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.