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Finding the Fourth Proportional to 507.47, 700.32 and 286.43

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Solution

The fourth proportional to 507.47, 700.32 and 286.43 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 700.32 = 286.43 : x
  2. Step 2: Convert to fraction form
    507.47/700.32 = 286.43/x
  3. Step 3: Cross multiply
    507.47x = 700.32 × 286.43
  4. Step 4: Simplify right side
    507.47x = 200,589.16
  5. Step 5: Solve for x
    x = 200,589.16/507.47
  6. Step 6: Final answer
    x = 395.28

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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.