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Finding the Fourth Proportional to 520.52, 780.91 and 195.89

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Solution

The fourth proportional to 520.52, 780.91 and 195.89 is: 293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 780.91 = 195.89 : x
  2. Step 2: Convert to fraction form
    520.52/780.91 = 195.89/x
  3. Step 3: Cross multiply
    520.52x = 780.91 × 195.89
  4. Step 4: Simplify right side
    520.52x = 152,968.07
  5. Step 5: Solve for x
    x = 152,968.07/520.52
  6. Step 6: Final answer
    x = 293.88

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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.