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Finding the Fourth Proportional to 358.35, 494.64 and 209.02

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Solution

The fourth proportional to 358.35, 494.64 and 209.02 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 494.64 = 209.02 : x
  2. Step 2: Convert to fraction form
    358.35/494.64 = 209.02/x
  3. Step 3: Cross multiply
    358.35x = 494.64 × 209.02
  4. Step 4: Simplify right side
    358.35x = 103,388.61
  5. Step 5: Solve for x
    x = 103,388.61/358.35
  6. Step 6: Final answer
    x = 288.51

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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.