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Finding the Fourth Proportional to 609.30, 912.15 and 404.10

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Solution

The fourth proportional to 609.30, 912.15 and 404.10 is: 604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.30 : 912.15 = 404.10 : x
  2. Step 2: Convert to fraction form
    609.30/912.15 = 404.10/x
  3. Step 3: Cross multiply
    609.30x = 912.15 × 404.10
  4. Step 4: Simplify right side
    609.30x = 368,599.82
  5. Step 5: Solve for x
    x = 368,599.82/609.30
  6. Step 6: Final answer
    x = 604.96

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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.