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Finding the Fourth Proportional to 507.44, 700.21 and 286.35

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Solution

The fourth proportional to 507.44, 700.21 and 286.35 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 700.21 = 286.35 : x
  2. Step 2: Convert to fraction form
    507.44/700.21 = 286.35/x
  3. Step 3: Cross multiply
    507.44x = 700.21 × 286.35
  4. Step 4: Simplify right side
    507.44x = 200,502.98
  5. Step 5: Solve for x
    x = 200,502.98/507.44
  6. Step 6: Final answer
    x = 395.13

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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.