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Finding the Fourth Proportional to 354.53, 488.91 and 230.14

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Solution

The fourth proportional to 354.53, 488.91 and 230.14 is: 317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.53 : 488.91 = 230.14 : x
  2. Step 2: Convert to fraction form
    354.53/488.91 = 230.14/x
  3. Step 3: Cross multiply
    354.53x = 488.91 × 230.14
  4. Step 4: Simplify right side
    354.53x = 112,516.60
  5. Step 5: Solve for x
    x = 112,516.60/354.53
  6. Step 6: Final answer
    x = 317.37

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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.