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Finding the Fourth Proportional to 356.58, 491.97 and 209.25

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Solution

The fourth proportional to 356.58, 491.97 and 209.25 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 491.97 = 209.25 : x
  2. Step 2: Convert to fraction form
    356.58/491.97 = 209.25/x
  3. Step 3: Cross multiply
    356.58x = 491.97 × 209.25
  4. Step 4: Simplify right side
    356.58x = 102,944.72
  5. Step 5: Solve for x
    x = 102,944.72/356.58
  6. Step 6: Final answer
    x = 288.70

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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.