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Finding the Fourth Proportional to 468.91, 646.94 and 311.62

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Solution

The fourth proportional to 468.91, 646.94 and 311.62 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 646.94 = 311.62 : x
  2. Step 2: Convert to fraction form
    468.91/646.94 = 311.62/x
  3. Step 3: Cross multiply
    468.91x = 646.94 × 311.62
  4. Step 4: Simplify right side
    468.91x = 201,599.88
  5. Step 5: Solve for x
    x = 201,599.88/468.91
  6. Step 6: Final answer
    x = 429.93

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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.