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Finding the Fourth Proportional to 507.33, 700.14 and 286.29

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Solution

The fourth proportional to 507.33, 700.14 and 286.29 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.33 : 700.14 = 286.29 : x
  2. Step 2: Convert to fraction form
    507.33/700.14 = 286.29/x
  3. Step 3: Cross multiply
    507.33x = 700.14 × 286.29
  4. Step 4: Simplify right side
    507.33x = 200,443.08
  5. Step 5: Solve for x
    x = 200,443.08/507.33
  6. Step 6: Final answer
    x = 395.09

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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.