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Finding the Fourth Proportional to 502.06, 751.99 and 414.42

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Solution

The fourth proportional to 502.06, 751.99 and 414.42 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.06 : 751.99 = 414.42 : x
  2. Step 2: Convert to fraction form
    502.06/751.99 = 414.42/x
  3. Step 3: Cross multiply
    502.06x = 751.99 × 414.42
  4. Step 4: Simplify right side
    502.06x = 311,639.70
  5. Step 5: Solve for x
    x = 311,639.70/502.06
  6. Step 6: Final answer
    x = 620.72

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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.