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Finding the Fourth Proportional to 520.97, 780.30 and 337.80

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Solution

The fourth proportional to 520.97, 780.30 and 337.80 is: 505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.97 : 780.30 = 337.80 : x
  2. Step 2: Convert to fraction form
    520.97/780.30 = 337.80/x
  3. Step 3: Cross multiply
    520.97x = 780.30 × 337.80
  4. Step 4: Simplify right side
    520.97x = 263,588.27
  5. Step 5: Solve for x
    x = 263,588.27/520.97
  6. Step 6: Final answer
    x = 505.96

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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.