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Finding the Fourth Proportional to 356.69, 534.89 and 219.32

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Solution

The fourth proportional to 356.69, 534.89 and 219.32 is: 328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.69 : 534.89 = 219.32 : x
  2. Step 2: Convert to fraction form
    356.69/534.89 = 219.32/x
  3. Step 3: Cross multiply
    356.69x = 534.89 × 219.32
  4. Step 4: Simplify right side
    356.69x = 117,308.30
  5. Step 5: Solve for x
    x = 117,308.30/356.69
  6. Step 6: Final answer
    x = 328.88

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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.