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Finding the Fourth Proportional to 501.87, 751.72 and 414.22

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Solution

The fourth proportional to 501.87, 751.72 and 414.22 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.87 : 751.72 = 414.22 : x
  2. Step 2: Convert to fraction form
    501.87/751.72 = 414.22/x
  3. Step 3: Cross multiply
    501.87x = 751.72 × 414.22
  4. Step 4: Simplify right side
    501.87x = 311,377.46
  5. Step 5: Solve for x
    x = 311,377.46/501.87
  6. Step 6: Final answer
    x = 620.43

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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.