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Finding the Fourth Proportional to 507.71, 700.57 and 286.61

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Solution

The fourth proportional to 507.71, 700.57 and 286.61 is: 395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 700.57 = 286.61 : x
  2. Step 2: Convert to fraction form
    507.71/700.57 = 286.61/x
  3. Step 3: Cross multiply
    507.71x = 700.57 × 286.61
  4. Step 4: Simplify right side
    507.71x = 200,791.40
  5. Step 5: Solve for x
    x = 200,791.40/507.71
  6. Step 6: Final answer
    x = 395.49

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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.