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Finding the Fourth Proportional to 611.84, 917.20 and 414.24

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Solution

The fourth proportional to 611.84, 917.20 and 414.24 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 917.20 = 414.24 : x
  2. Step 2: Convert to fraction form
    611.84/917.20 = 414.24/x
  3. Step 3: Cross multiply
    611.84x = 917.20 × 414.24
  4. Step 4: Simplify right side
    611.84x = 379,940.93
  5. Step 5: Solve for x
    x = 379,940.93/611.84
  6. Step 6: Final answer
    x = 620.98

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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.