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Finding the Fourth Proportional to 609.42, 913.80 and 365.88

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Solution

The fourth proportional to 609.42, 913.80 and 365.88 is: 548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 913.80 = 365.88 : x
  2. Step 2: Convert to fraction form
    609.42/913.80 = 365.88/x
  3. Step 3: Cross multiply
    609.42x = 913.80 × 365.88
  4. Step 4: Simplify right side
    609.42x = 334,341.14
  5. Step 5: Solve for x
    x = 334,341.14/609.42
  6. Step 6: Final answer
    x = 548.62

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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.