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Finding the Fourth Proportional to 305.40, 456.99 and 213.90

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Solution

The fourth proportional to 305.40, 456.99 and 213.90 is: 320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 456.99 = 213.90 : x
  2. Step 2: Convert to fraction form
    305.40/456.99 = 213.90/x
  3. Step 3: Cross multiply
    305.40x = 456.99 × 213.90
  4. Step 4: Simplify right side
    305.40x = 97,750.16
  5. Step 5: Solve for x
    x = 97,750.16/305.40
  6. Step 6: Final answer
    x = 320.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.