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Finding the Fourth Proportional to 507.87, 700.88 and 286.81

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Solution

The fourth proportional to 507.87, 700.88 and 286.81 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 700.88 = 286.81 : x
  2. Step 2: Convert to fraction form
    507.87/700.88 = 286.81/x
  3. Step 3: Cross multiply
    507.87x = 700.88 × 286.81
  4. Step 4: Simplify right side
    507.87x = 201,016.21
  5. Step 5: Solve for x
    x = 201,016.21/507.87
  6. Step 6: Final answer
    x = 395.80

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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.