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Finding the Fourth Proportional to 430.27, 593.19 and 330.75

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Solution

The fourth proportional to 430.27, 593.19 and 330.75 is: 455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.27 : 593.19 = 330.75 : x
  2. Step 2: Convert to fraction form
    430.27/593.19 = 330.75/x
  3. Step 3: Cross multiply
    430.27x = 593.19 × 330.75
  4. Step 4: Simplify right side
    430.27x = 196,197.59
  5. Step 5: Solve for x
    x = 196,197.59/430.27
  6. Step 6: Final answer
    x = 455.99

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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.