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Finding the Fourth Proportional to 358.17, 493.86 and 288.37

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Solution

The fourth proportional to 358.17, 493.86 and 288.37 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.17 : 493.86 = 288.37 : x
  2. Step 2: Convert to fraction form
    358.17/493.86 = 288.37/x
  3. Step 3: Cross multiply
    358.17x = 493.86 × 288.37
  4. Step 4: Simplify right side
    358.17x = 142,414.41
  5. Step 5: Solve for x
    x = 142,414.41/358.17
  6. Step 6: Final answer
    x = 397.62

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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.