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Finding the Fourth Proportional to 609.12, 910.44 and 530.43

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Solution

The fourth proportional to 609.12, 910.44 and 530.43 is: 792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 910.44 = 530.43 : x
  2. Step 2: Convert to fraction form
    609.12/910.44 = 530.43/x
  3. Step 3: Cross multiply
    609.12x = 910.44 × 530.43
  4. Step 4: Simplify right side
    609.12x = 482,917.48
  5. Step 5: Solve for x
    x = 482,917.48/609.12
  6. Step 6: Final answer
    x = 792.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.