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Finding the Fourth Proportional to 633.80, 950.98 and 414.02

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Solution

The fourth proportional to 633.80, 950.98 and 414.02 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 950.98 = 414.02 : x
  2. Step 2: Convert to fraction form
    633.80/950.98 = 414.02/x
  3. Step 3: Cross multiply
    633.80x = 950.98 × 414.02
  4. Step 4: Simplify right side
    633.80x = 393,724.74
  5. Step 5: Solve for x
    x = 393,724.74/633.80
  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.