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Finding the Fourth Proportional to 609.51, 842.07 and 470.19

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Solution

The fourth proportional to 609.51, 842.07 and 470.19 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 842.07 = 470.19 : x
  2. Step 2: Convert to fraction form
    609.51/842.07 = 470.19/x
  3. Step 3: Cross multiply
    609.51x = 842.07 × 470.19
  4. Step 4: Simplify right side
    609.51x = 395,932.89
  5. Step 5: Solve for x
    x = 395,932.89/609.51
  6. Step 6: Final answer
    x = 649.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.