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Finding the Fourth Proportional to 623.22, 935.91 and 461.22

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Solution

The fourth proportional to 623.22, 935.91 and 461.22 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.22 : 935.91 = 461.22 : x
  2. Step 2: Convert to fraction form
    623.22/935.91 = 461.22/x
  3. Step 3: Cross multiply
    623.22x = 935.91 × 461.22
  4. Step 4: Simplify right side
    623.22x = 431,660.41
  5. Step 5: Solve for x
    x = 431,660.41/623.22
  6. Step 6: Final answer
    x = 692.63

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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.