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Finding the Fourth Proportional to 520.49, 780.22 and 289.49

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Solution

The fourth proportional to 520.49, 780.22 and 289.49 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.49 : 780.22 = 289.49 : x
  2. Step 2: Convert to fraction form
    520.49/780.22 = 289.49/x
  3. Step 3: Cross multiply
    520.49x = 780.22 × 289.49
  4. Step 4: Simplify right side
    520.49x = 225,863.04
  5. Step 5: Solve for x
    x = 225,863.04/520.49
  6. Step 6: Final answer
    x = 433.94

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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.