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Finding the Fourth Proportional to 429.91, 594.11 and 356.11

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Solution

The fourth proportional to 429.91, 594.11 and 356.11 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.91 : 594.11 = 356.11 : x
  2. Step 2: Convert to fraction form
    429.91/594.11 = 356.11/x
  3. Step 3: Cross multiply
    429.91x = 594.11 × 356.11
  4. Step 4: Simplify right side
    429.91x = 211,567.92
  5. Step 5: Solve for x
    x = 211,567.92/429.91
  6. Step 6: Final answer
    x = 492.12

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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.