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Finding the Fourth Proportional to 507.75, 700.80 and 286.71

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Solution

The fourth proportional to 507.75, 700.80 and 286.71 is: 395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 700.80 = 286.71 : x
  2. Step 2: Convert to fraction form
    507.75/700.80 = 286.71/x
  3. Step 3: Cross multiply
    507.75x = 700.80 × 286.71
  4. Step 4: Simplify right side
    507.75x = 200,926.37
  5. Step 5: Solve for x
    x = 200,926.37/507.75
  6. Step 6: Final answer
    x = 395.72

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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.