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Finding the Fourth Proportional to 500.84, 749.73 and 412.75

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Solution

The fourth proportional to 500.84, 749.73 and 412.75 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 749.73 = 412.75 : x
  2. Step 2: Convert to fraction form
    500.84/749.73 = 412.75/x
  3. Step 3: Cross multiply
    500.84x = 749.73 × 412.75
  4. Step 4: Simplify right side
    500.84x = 309,451.06
  5. Step 5: Solve for x
    x = 309,451.06/500.84
  6. Step 6: Final answer
    x = 617.86

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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.