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Finding the Fourth Proportional to 358.43, 493.29 and 337.16

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Solution

The fourth proportional to 358.43, 493.29 and 337.16 is: 464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 493.29 = 337.16 : x
  2. Step 2: Convert to fraction form
    358.43/493.29 = 337.16/x
  3. Step 3: Cross multiply
    358.43x = 493.29 × 337.16
  4. Step 4: Simplify right side
    358.43x = 166,318.89
  5. Step 5: Solve for x
    x = 166,318.89/358.43
  6. Step 6: Final answer
    x = 464.03

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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.