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Finding the Fourth Proportional to 356.54, 491.82 and 209.16

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Solution

The fourth proportional to 356.54, 491.82 and 209.16 is: 288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.54 : 491.82 = 209.16 : x
  2. Step 2: Convert to fraction form
    356.54/491.82 = 209.16/x
  3. Step 3: Cross multiply
    356.54x = 491.82 × 209.16
  4. Step 4: Simplify right side
    356.54x = 102,869.07
  5. Step 5: Solve for x
    x = 102,869.07/356.54
  6. Step 6: Final answer
    x = 288.52

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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.