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Finding the Fourth Proportional to 430.60, 645.36 and 199.12

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Solution

The fourth proportional to 430.60, 645.36 and 199.12 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 645.36 = 199.12 : x
  2. Step 2: Convert to fraction form
    430.60/645.36 = 199.12/x
  3. Step 3: Cross multiply
    430.60x = 645.36 × 199.12
  4. Step 4: Simplify right side
    430.60x = 128,504.08
  5. Step 5: Solve for x
    x = 128,504.08/430.60
  6. Step 6: Final answer
    x = 298.43

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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.