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Finding the Fourth Proportional to 356.37, 491.84 and 209.06

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Solution

The fourth proportional to 356.37, 491.84 and 209.06 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.37 : 491.84 = 209.06 : x
  2. Step 2: Convert to fraction form
    356.37/491.84 = 209.06/x
  3. Step 3: Cross multiply
    356.37x = 491.84 × 209.06
  4. Step 4: Simplify right side
    356.37x = 102,825.04
  5. Step 5: Solve for x
    x = 102,825.04/356.37
  6. Step 6: Final answer
    x = 288.53

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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.