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Finding the Fourth Proportional to 507.82, 700.83 and 286.84

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Solution

The fourth proportional to 507.82, 700.83 and 286.84 is: 395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 700.83 = 286.84 : x
  2. Step 2: Convert to fraction form
    507.82/700.83 = 286.84/x
  3. Step 3: Cross multiply
    507.82x = 700.83 × 286.84
  4. Step 4: Simplify right side
    507.82x = 201,026.08
  5. Step 5: Solve for x
    x = 201,026.08/507.82
  6. Step 6: Final answer
    x = 395.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.