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Finding the Fourth Proportional to 507.64, 700.50 and 286.57

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Solution

The fourth proportional to 507.64, 700.50 and 286.57 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 700.50 = 286.57 : x
  2. Step 2: Convert to fraction form
    507.64/700.50 = 286.57/x
  3. Step 3: Cross multiply
    507.64x = 700.50 × 286.57
  4. Step 4: Simplify right side
    507.64x = 200,742.29
  5. Step 5: Solve for x
    x = 200,742.29/507.64
  6. Step 6: Final answer
    x = 395.44

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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.