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Finding the Fourth Proportional to 523.97, 785.18 and 414.55

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Solution

The fourth proportional to 523.97, 785.18 and 414.55 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 785.18 = 414.55 : x
  2. Step 2: Convert to fraction form
    523.97/785.18 = 414.55/x
  3. Step 3: Cross multiply
    523.97x = 785.18 × 414.55
  4. Step 4: Simplify right side
    523.97x = 325,496.06
  5. Step 5: Solve for x
    x = 325,496.06/523.97
  6. Step 6: Final answer
    x = 621.21

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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.