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Finding the Fourth Proportional to 358.12, 493.38 and 280.36

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Solution

The fourth proportional to 358.12, 493.38 and 280.36 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 493.38 = 280.36 : x
  2. Step 2: Convert to fraction form
    358.12/493.38 = 280.36/x
  3. Step 3: Cross multiply
    358.12x = 493.38 × 280.36
  4. Step 4: Simplify right side
    358.12x = 138,324.02
  5. Step 5: Solve for x
    x = 138,324.02/358.12
  6. Step 6: Final answer
    x = 386.25

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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.