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Finding the Fourth Proportional to 609.84, 912.96 and 416.88

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Solution

The fourth proportional to 609.84, 912.96 and 416.88 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 912.96 = 416.88 : x
  2. Step 2: Convert to fraction form
    609.84/912.96 = 416.88/x
  3. Step 3: Cross multiply
    609.84x = 912.96 × 416.88
  4. Step 4: Simplify right side
    609.84x = 380,594.76
  5. Step 5: Solve for x
    x = 380,594.76/609.84
  6. Step 6: Final answer
    x = 624.09

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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.