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Finding the Fourth Proportional to 611.22, 915.12 and 415.99

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Solution

The fourth proportional to 611.22, 915.12 and 415.99 is: 622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 915.12 = 415.99 : x
  2. Step 2: Convert to fraction form
    611.22/915.12 = 415.99/x
  3. Step 3: Cross multiply
    611.22x = 915.12 × 415.99
  4. Step 4: Simplify right side
    611.22x = 380,677.94
  5. Step 5: Solve for x
    x = 380,677.94/611.22
  6. Step 6: Final answer
    x = 622.82

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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.