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Finding the Fourth Proportional to 358.13, 492.64 and 337.97

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Solution

The fourth proportional to 358.13, 492.64 and 337.97 is: 464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 492.64 = 337.97 : x
  2. Step 2: Convert to fraction form
    358.13/492.64 = 337.97/x
  3. Step 3: Cross multiply
    358.13x = 492.64 × 337.97
  4. Step 4: Simplify right side
    358.13x = 166,497.54
  5. Step 5: Solve for x
    x = 166,497.54/358.13
  6. Step 6: Final answer
    x = 464.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.