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Finding the Fourth Proportional to 500.65, 750.97 and 414.97

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Solution

The fourth proportional to 500.65, 750.97 and 414.97 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.65 : 750.97 = 414.97 : x
  2. Step 2: Convert to fraction form
    500.65/750.97 = 414.97/x
  3. Step 3: Cross multiply
    500.65x = 750.97 × 414.97
  4. Step 4: Simplify right side
    500.65x = 311,630.02
  5. Step 5: Solve for x
    x = 311,630.02/500.65
  6. Step 6: Final answer
    x = 622.45

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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.