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Finding the Fourth Proportional to 621.75, 858.20 and 414.75

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Solution

The fourth proportional to 621.75, 858.20 and 414.75 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.75 : 858.20 = 414.75 : x
  2. Step 2: Convert to fraction form
    621.75/858.20 = 414.75/x
  3. Step 3: Cross multiply
    621.75x = 858.20 × 414.75
  4. Step 4: Simplify right side
    621.75x = 355,936.38
  5. Step 5: Solve for x
    x = 355,936.38/621.75
  6. Step 6: Final answer
    x = 572.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.