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Finding the Fourth Proportional to 355.83, 491.04 and 208.46

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Solution

The fourth proportional to 355.83, 491.04 and 208.46 is: 287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.83 : 491.04 = 208.46 : x
  2. Step 2: Convert to fraction form
    355.83/491.04 = 208.46/x
  3. Step 3: Cross multiply
    355.83x = 491.04 × 208.46
  4. Step 4: Simplify right side
    355.83x = 102,359.74
  5. Step 5: Solve for x
    x = 102,359.74/355.83
  6. Step 6: Final answer
    x = 287.66

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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.