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Finding the Fourth Proportional to 507.53, 700.38 and 286.48

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Solution

The fourth proportional to 507.53, 700.38 and 286.48 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.53 : 700.38 = 286.48 : x
  2. Step 2: Convert to fraction form
    507.53/700.38 = 286.48/x
  3. Step 3: Cross multiply
    507.53x = 700.38 × 286.48
  4. Step 4: Simplify right side
    507.53x = 200,644.86
  5. Step 5: Solve for x
    x = 200,644.86/507.53
  6. Step 6: Final answer
    x = 395.34

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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.