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Finding the Fourth Proportional to 609.94, 914.89 and 263.32

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Solution

The fourth proportional to 609.94, 914.89 and 263.32 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.94 : 914.89 = 263.32 : x
  2. Step 2: Convert to fraction form
    609.94/914.89 = 263.32/x
  3. Step 3: Cross multiply
    609.94x = 914.89 × 263.32
  4. Step 4: Simplify right side
    609.94x = 240,908.83
  5. Step 5: Solve for x
    x = 240,908.83/609.94
  6. Step 6: Final answer
    x = 394.97

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1.5x scale

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.