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Finding the Fourth Proportional to 501.73, 751.50 and 414.08

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Solution

The fourth proportional to 501.73, 751.50 and 414.08 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.73 : 751.50 = 414.08 : x
  2. Step 2: Convert to fraction form
    501.73/751.50 = 414.08/x
  3. Step 3: Cross multiply
    501.73x = 751.50 × 414.08
  4. Step 4: Simplify right side
    501.73x = 311,181.12
  5. Step 5: Solve for x
    x = 311,181.12/501.73
  6. Step 6: Final answer
    x = 620.22

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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.