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Finding the Fourth Proportional to 520.40, 780.71 and 195.77

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Solution

The fourth proportional to 520.40, 780.71 and 195.77 is: 293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 780.71 = 195.77 : x
  2. Step 2: Convert to fraction form
    520.40/780.71 = 195.77/x
  3. Step 3: Cross multiply
    520.40x = 780.71 × 195.77
  4. Step 4: Simplify right side
    520.40x = 152,838.13
  5. Step 5: Solve for x
    x = 152,838.13/520.40
  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.