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Finding the Fourth Proportional to 500.26, 750.80 and 256.86

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Solution

The fourth proportional to 500.26, 750.80 and 256.86 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.26 : 750.80 = 256.86 : x
  2. Step 2: Convert to fraction form
    500.26/750.80 = 256.86/x
  3. Step 3: Cross multiply
    500.26x = 750.80 × 256.86
  4. Step 4: Simplify right side
    500.26x = 192,850.49
  5. Step 5: Solve for x
    x = 192,850.49/500.26
  6. Step 6: Final answer
    x = 385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.