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Finding the Fourth Proportional to 355.85, 491.06 and 229.59

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Solution

The fourth proportional to 355.85, 491.06 and 229.59 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.85 : 491.06 = 229.59 : x
  2. Step 2: Convert to fraction form
    355.85/491.06 = 229.59/x
  3. Step 3: Cross multiply
    355.85x = 491.06 × 229.59
  4. Step 4: Simplify right side
    355.85x = 112,741.32
  5. Step 5: Solve for x
    x = 112,741.32/355.85
  6. Step 6: Final answer
    x = 316.83

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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.