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Finding the Fourth Proportional to 609.30, 914.04 and 393.84

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Solution

The fourth proportional to 609.30, 914.04 and 393.84 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.30 : 914.04 = 393.84 : x
  2. Step 2: Convert to fraction form
    609.30/914.04 = 393.84/x
  3. Step 3: Cross multiply
    609.30x = 914.04 × 393.84
  4. Step 4: Simplify right side
    609.30x = 359,985.51
  5. Step 5: Solve for x
    x = 359,985.51/609.30
  6. Step 6: Final answer
    x = 590.82

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