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Finding the Fourth Proportional to 429.32, 642.56 and 352.47

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Solution

The fourth proportional to 429.32, 642.56 and 352.47 is: 527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 642.56 = 352.47 : x
  2. Step 2: Convert to fraction form
    429.32/642.56 = 352.47/x
  3. Step 3: Cross multiply
    429.32x = 642.56 × 352.47
  4. Step 4: Simplify right side
    429.32x = 226,481.36
  5. Step 5: Solve for x
    x = 226,481.36/429.32
  6. Step 6: Final answer
    x = 527.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.