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Finding the Fourth Proportional to 514.69, 772.07 and 190.08

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Solution

The fourth proportional to 514.69, 772.07 and 190.08 is: 285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 772.07 = 190.08 : x
  2. Step 2: Convert to fraction form
    514.69/772.07 = 190.08/x
  3. Step 3: Cross multiply
    514.69x = 772.07 × 190.08
  4. Step 4: Simplify right side
    514.69x = 146,755.07
  5. Step 5: Solve for x
    x = 146,755.07/514.69
  6. Step 6: Final answer
    x = 285.13

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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.