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Finding the Fourth Proportional to 330.70, 456.96 and 320.02

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Solution

The fourth proportional to 330.70, 456.96 and 320.02 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.70 : 456.96 = 320.02 : x
  2. Step 2: Convert to fraction form
    330.70/456.96 = 320.02/x
  3. Step 3: Cross multiply
    330.70x = 456.96 × 320.02
  4. Step 4: Simplify right side
    330.70x = 146,236.34
  5. Step 5: Solve for x
    x = 146,236.34/330.70
  6. Step 6: Final answer
    x = 442.20

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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.