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Finding the Fourth Proportional to 520.10, 780.23 and 191.06

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Solution

The fourth proportional to 520.10, 780.23 and 191.06 is: 286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.10 : 780.23 = 191.06 : x
  2. Step 2: Convert to fraction form
    520.10/780.23 = 191.06/x
  3. Step 3: Cross multiply
    520.10x = 780.23 × 191.06
  4. Step 4: Simplify right side
    520.10x = 149,065.89
  5. Step 5: Solve for x
    x = 149,065.89/520.10
  6. Step 6: Final answer
    x = 286.61

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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.