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Finding the Fourth Proportional to 517.93, 776.18 and 286.93

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Solution

The fourth proportional to 517.93, 776.18 and 286.93 is: 430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.93 : 776.18 = 286.93 : x
  2. Step 2: Convert to fraction form
    517.93/776.18 = 286.93/x
  3. Step 3: Cross multiply
    517.93x = 776.18 × 286.93
  4. Step 4: Simplify right side
    517.93x = 222,709.33
  5. Step 5: Solve for x
    x = 222,709.33/517.93
  6. Step 6: Final answer
    x = 430.00

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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.