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Finding the Fourth Proportional to 429.30, 591.81 and 330.89

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Solution

The fourth proportional to 429.30, 591.81 and 330.89 is: 456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 591.81 = 330.89 : x
  2. Step 2: Convert to fraction form
    429.30/591.81 = 330.89/x
  3. Step 3: Cross multiply
    429.30x = 591.81 × 330.89
  4. Step 4: Simplify right side
    429.30x = 195,819.81
  5. Step 5: Solve for x
    x = 195,819.81/429.30
  6. Step 6: Final answer
    x = 456.14

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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.