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Finding the Fourth Proportional to 429.12, 591.30 and 402.12

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Solution

The fourth proportional to 429.12, 591.30 and 402.12 is: 554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 591.30 = 402.12 : x
  2. Step 2: Convert to fraction form
    429.12/591.30 = 402.12/x
  3. Step 3: Cross multiply
    429.12x = 591.30 × 402.12
  4. Step 4: Simplify right side
    429.12x = 237,773.56
  5. Step 5: Solve for x
    x = 237,773.56/429.12
  6. Step 6: Final answer
    x = 554.10

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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.