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Finding the Fourth Proportional to 470.13, 643.22 and 468.33

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Solution

The fourth proportional to 470.13, 643.22 and 468.33 is: 640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.13 : 643.22 = 468.33 : x
  2. Step 2: Convert to fraction form
    470.13/643.22 = 468.33/x
  3. Step 3: Cross multiply
    470.13x = 643.22 × 468.33
  4. Step 4: Simplify right side
    470.13x = 301,236.88
  5. Step 5: Solve for x
    x = 301,236.88/470.13
  6. Step 6: Final answer
    x = 640.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.