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Finding the Fourth Proportional to 500.52, 750.78 and 414.84

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Solution

The fourth proportional to 500.52, 750.78 and 414.84 is: 622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 750.78 = 414.84 : x
  2. Step 2: Convert to fraction form
    500.52/750.78 = 414.84/x
  3. Step 3: Cross multiply
    500.52x = 750.78 × 414.84
  4. Step 4: Simplify right side
    500.52x = 311,453.58
  5. Step 5: Solve for x
    x = 311,453.58/500.52
  6. Step 6: Final answer
    x = 622.26

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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.