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Finding the Fourth Proportional to 517.50, 775.63 and 286.51

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Solution

The fourth proportional to 517.50, 775.63 and 286.51 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 775.63 = 286.51 : x
  2. Step 2: Convert to fraction form
    517.50/775.63 = 286.51/x
  3. Step 3: Cross multiply
    517.50x = 775.63 × 286.51
  4. Step 4: Simplify right side
    517.50x = 222,225.75
  5. Step 5: Solve for x
    x = 222,225.75/517.50
  6. Step 6: Final answer
    x = 429.42

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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.