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Finding the Fourth Proportional to 356.36, 491.64 and 208.94

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Solution

The fourth proportional to 356.36, 491.64 and 208.94 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.36 : 491.64 = 208.94 : x
  2. Step 2: Convert to fraction form
    356.36/491.64 = 208.94/x
  3. Step 3: Cross multiply
    356.36x = 491.64 × 208.94
  4. Step 4: Simplify right side
    356.36x = 102,723.26
  5. Step 5: Solve for x
    x = 102,723.26/356.36
  6. Step 6: Final answer
    x = 288.26

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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.