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Finding the Fourth Proportional to 520.37, 780.86 and 195.72

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Solution

The fourth proportional to 520.37, 780.86 and 195.72 is: 293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.37 : 780.86 = 195.72 : x
  2. Step 2: Convert to fraction form
    520.37/780.86 = 195.72/x
  3. Step 3: Cross multiply
    520.37x = 780.86 × 195.72
  4. Step 4: Simplify right side
    520.37x = 152,829.92
  5. Step 5: Solve for x
    x = 152,829.92/520.37
  6. Step 6: Final answer
    x = 293.69

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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.