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Finding the Fourth Proportional to 520.07, 780.14 and 195.35

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Solution

The fourth proportional to 520.07, 780.14 and 195.35 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 780.14 = 195.35 : x
  2. Step 2: Convert to fraction form
    520.07/780.14 = 195.35/x
  3. Step 3: Cross multiply
    520.07x = 780.14 × 195.35
  4. Step 4: Simplify right side
    520.07x = 152,396.94
  5. Step 5: Solve for x
    x = 152,396.94/520.07
  6. Step 6: Final answer
    x = 293.03

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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.