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Finding the Fourth Proportional to 507.69, 700.61 and 286.64

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Solution

The fourth proportional to 507.69, 700.61 and 286.64 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 700.61 = 286.64 : x
  2. Step 2: Convert to fraction form
    507.69/700.61 = 286.64/x
  3. Step 3: Cross multiply
    507.69x = 700.61 × 286.64
  4. Step 4: Simplify right side
    507.69x = 200,817.91
  5. Step 5: Solve for x
    x = 200,817.91/507.69
  6. Step 6: Final answer
    x = 395.56

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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.