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Finding the Fourth Proportional to 330.52, 456.06 and 214.02

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Solution

The fourth proportional to 330.52, 456.06 and 214.02 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 456.06 = 214.02 : x
  2. Step 2: Convert to fraction form
    330.52/456.06 = 214.02/x
  3. Step 3: Cross multiply
    330.52x = 456.06 × 214.02
  4. Step 4: Simplify right side
    330.52x = 97,603.15
  5. Step 5: Solve for x
    x = 97,603.15/330.52
  6. Step 6: Final answer
    x = 295.30

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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.