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Finding the Fourth Proportional to 507.46, 700.31 and 286.42

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Solution

The fourth proportional to 507.46, 700.31 and 286.42 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.46 : 700.31 = 286.42 : x
  2. Step 2: Convert to fraction form
    507.46/700.31 = 286.42/x
  3. Step 3: Cross multiply
    507.46x = 700.31 × 286.42
  4. Step 4: Simplify right side
    507.46x = 200,582.79
  5. Step 5: Solve for x
    x = 200,582.79/507.46
  6. Step 6: Final answer
    x = 395.27

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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.