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Finding the Fourth Proportional to 358.44, 534.90 and 329.76

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Solution

The fourth proportional to 358.44, 534.90 and 329.76 is: 492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.44 : 534.90 = 329.76 : x
  2. Step 2: Convert to fraction form
    358.44/534.90 = 329.76/x
  3. Step 3: Cross multiply
    358.44x = 534.90 × 329.76
  4. Step 4: Simplify right side
    358.44x = 176,388.62
  5. Step 5: Solve for x
    x = 176,388.62/358.44
  6. Step 6: Final answer
    x = 492.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.