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Finding the Fourth Proportional to 609.86, 914.80 and 335.90

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Solution

The fourth proportional to 609.86, 914.80 and 335.90 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 914.80 = 335.90 : x
  2. Step 2: Convert to fraction form
    609.86/914.80 = 335.90/x
  3. Step 3: Cross multiply
    609.86x = 914.80 × 335.90
  4. Step 4: Simplify right side
    609.86x = 307,281.32
  5. Step 5: Solve for x
    x = 307,281.32/609.86
  6. Step 6: Final answer
    x = 503.86

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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.