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Finding the Fourth Proportional to 353.90, 488.63 and 229.77

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Solution

The fourth proportional to 353.90, 488.63 and 229.77 is: 317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 488.63 = 229.77 : x
  2. Step 2: Convert to fraction form
    353.90/488.63 = 229.77/x
  3. Step 3: Cross multiply
    353.90x = 488.63 × 229.77
  4. Step 4: Simplify right side
    353.90x = 112,273.09
  5. Step 5: Solve for x
    x = 112,273.09/353.90
  6. Step 6: Final answer
    x = 317.24

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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.