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Finding the Fourth Proportional to 358.46, 494.66 and 209.10

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Solution

The fourth proportional to 358.46, 494.66 and 209.10 is: 288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.46 : 494.66 = 209.10 : x
  2. Step 2: Convert to fraction form
    358.46/494.66 = 209.10/x
  3. Step 3: Cross multiply
    358.46x = 494.66 × 209.10
  4. Step 4: Simplify right side
    358.46x = 103,433.41
  5. Step 5: Solve for x
    x = 103,433.41/358.46
  6. Step 6: Final answer
    x = 288.55

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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.