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Finding the Fourth Proportional to 609.98, 914.50 and 393.10

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Solution

The fourth proportional to 609.98, 914.50 and 393.10 is: 589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 914.50 = 393.10 : x
  2. Step 2: Convert to fraction form
    609.98/914.50 = 393.10/x
  3. Step 3: Cross multiply
    609.98x = 914.50 × 393.10
  4. Step 4: Simplify right side
    609.98x = 359,486.68
  5. Step 5: Solve for x
    x = 359,486.68/609.98
  6. Step 6: Final answer
    x = 589.35

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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.