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Finding the Fourth Proportional to 609.90, 914.76 and 365.83

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Solution

The fourth proportional to 609.90, 914.76 and 365.83 is: 548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.90 : 914.76 = 365.83 : x
  2. Step 2: Convert to fraction form
    609.90/914.76 = 365.83/x
  3. Step 3: Cross multiply
    609.90x = 914.76 × 365.83
  4. Step 4: Simplify right side
    609.90x = 334,646.65
  5. Step 5: Solve for x
    x = 334,646.65/609.90
  6. Step 6: Final answer
    x = 548.69

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Why These Related Problems?

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