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Finding the Fourth Proportional to 468.66, 701.82 and 456.42

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Solution

The fourth proportional to 468.66, 701.82 and 456.42 is: 683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 701.82 = 456.42 : x
  2. Step 2: Convert to fraction form
    468.66/701.82 = 456.42/x
  3. Step 3: Cross multiply
    468.66x = 701.82 × 456.42
  4. Step 4: Simplify right side
    468.66x = 320,324.68
  5. Step 5: Solve for x
    x = 320,324.68/468.66
  6. Step 6: Final answer
    x = 683.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.