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Finding the Fourth Proportional to 354.24, 488.88 and 230.08

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Solution

The fourth proportional to 354.24, 488.88 and 230.08 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 488.88 = 230.08 : x
  2. Step 2: Convert to fraction form
    354.24/488.88 = 230.08/x
  3. Step 3: Cross multiply
    354.24x = 488.88 × 230.08
  4. Step 4: Simplify right side
    354.24x = 112,481.51
  5. Step 5: Solve for x
    x = 112,481.51/354.24
  6. Step 6: Final answer
    x = 317.53

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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.