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Finding the Fourth Proportional to 353.93, 488.67 and 229.67

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Solution

The fourth proportional to 353.93, 488.67 and 229.67 is: 317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.93 : 488.67 = 229.67 : x
  2. Step 2: Convert to fraction form
    353.93/488.67 = 229.67/x
  3. Step 3: Cross multiply
    353.93x = 488.67 × 229.67
  4. Step 4: Simplify right side
    353.93x = 112,230.40
  5. Step 5: Solve for x
    x = 112,230.40/353.93
  6. Step 6: Final answer
    x = 317.10

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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.