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Finding the Fourth Proportional to 356.46, 491.96 and 209.10

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Solution

The fourth proportional to 356.46, 491.96 and 209.10 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.46 : 491.96 = 209.10 : x
  2. Step 2: Convert to fraction form
    356.46/491.96 = 209.10/x
  3. Step 3: Cross multiply
    356.46x = 491.96 × 209.10
  4. Step 4: Simplify right side
    356.46x = 102,869.64
  5. Step 5: Solve for x
    x = 102,869.64/356.46
  6. Step 6: Final answer
    x = 288.59

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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.