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Finding the Fourth Proportional to 500.84, 749.25 and 433.09

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Solution

The fourth proportional to 500.84, 749.25 and 433.09 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 749.25 = 433.09 : x
  2. Step 2: Convert to fraction form
    500.84/749.25 = 433.09/x
  3. Step 3: Cross multiply
    500.84x = 749.25 × 433.09
  4. Step 4: Simplify right side
    500.84x = 324,492.68
  5. Step 5: Solve for x
    x = 324,492.68/500.84
  6. Step 6: Final answer
    x = 647.90

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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.