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Finding the Fourth Proportional to 420.60, 633.33 and 324.60

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Solution

The fourth proportional to 420.60, 633.33 and 324.60 is: 488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.60 : 633.33 = 324.60 : x
  2. Step 2: Convert to fraction form
    420.60/633.33 = 324.60/x
  3. Step 3: Cross multiply
    420.60x = 633.33 × 324.60
  4. Step 4: Simplify right side
    420.60x = 205,578.92
  5. Step 5: Solve for x
    x = 205,578.92/420.60
  6. Step 6: Final answer
    x = 488.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.