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Finding the Fourth Proportional to 507.81, 700.82 and 286.77

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Solution

The fourth proportional to 507.81, 700.82 and 286.77 is: 395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 700.82 = 286.77 : x
  2. Step 2: Convert to fraction form
    507.81/700.82 = 286.77/x
  3. Step 3: Cross multiply
    507.81x = 700.82 × 286.77
  4. Step 4: Simplify right side
    507.81x = 200,972.72
  5. Step 5: Solve for x
    x = 200,972.72/507.81
  6. Step 6: Final answer
    x = 395.76

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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.