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Finding the Fourth Proportional to 358.65, 494.93 and 209.31

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Solution

The fourth proportional to 358.65, 494.93 and 209.31 is: 288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.65 : 494.93 = 209.31 : x
  2. Step 2: Convert to fraction form
    358.65/494.93 = 209.31/x
  3. Step 3: Cross multiply
    358.65x = 494.93 × 209.31
  4. Step 4: Simplify right side
    358.65x = 103,591.32
  5. Step 5: Solve for x
    x = 103,591.32/358.65
  6. Step 6: Final answer
    x = 288.84

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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.