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Finding the Fourth Proportional to 609.12, 913.52 and 176.30

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Solution

The fourth proportional to 609.12, 913.52 and 176.30 is: 264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 913.52 = 176.30 : x
  2. Step 2: Convert to fraction form
    609.12/913.52 = 176.30/x
  3. Step 3: Cross multiply
    609.12x = 913.52 × 176.30
  4. Step 4: Simplify right side
    609.12x = 161,053.58
  5. Step 5: Solve for x
    x = 161,053.58/609.12
  6. Step 6: Final answer
    x = 264.40

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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.