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Finding the Fourth Proportional to 430.11, 593.65 and 330.68

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Solution

The fourth proportional to 430.11, 593.65 and 330.68 is: 456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 593.65 = 330.68 : x
  2. Step 2: Convert to fraction form
    430.11/593.65 = 330.68/x
  3. Step 3: Cross multiply
    430.11x = 593.65 × 330.68
  4. Step 4: Simplify right side
    430.11x = 196,308.18
  5. Step 5: Solve for x
    x = 196,308.18/430.11
  6. Step 6: Final answer
    x = 456.41

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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.