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Finding the Fourth Proportional to 468.10, 646.10 and 310.66

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Solution

The fourth proportional to 468.10, 646.10 and 310.66 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.10 : 646.10 = 310.66 : x
  2. Step 2: Convert to fraction form
    468.10/646.10 = 310.66/x
  3. Step 3: Cross multiply
    468.10x = 646.10 × 310.66
  4. Step 4: Simplify right side
    468.10x = 200,717.43
  5. Step 5: Solve for x
    x = 200,717.43/468.10
  6. Step 6: Final answer
    x = 428.79

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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.