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Finding the Fourth Proportional to 330.10, 456.69 and 322.90

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Solution

The fourth proportional to 330.10, 456.69 and 322.90 is: 446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.10 : 456.69 = 322.90 : x
  2. Step 2: Convert to fraction form
    330.10/456.69 = 322.90/x
  3. Step 3: Cross multiply
    330.10x = 456.69 × 322.90
  4. Step 4: Simplify right side
    330.10x = 147,465.20
  5. Step 5: Solve for x
    x = 147,465.20/330.10
  6. Step 6: Final answer
    x = 446.73

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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.