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Finding the Fourth Proportional to 500.28, 750.88 and 256.98

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Solution

The fourth proportional to 500.28, 750.88 and 256.98 is: 385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 750.88 = 256.98 : x
  2. Step 2: Convert to fraction form
    500.28/750.88 = 256.98/x
  3. Step 3: Cross multiply
    500.28x = 750.88 × 256.98
  4. Step 4: Simplify right side
    500.28x = 192,961.14
  5. Step 5: Solve for x
    x = 192,961.14/500.28
  6. Step 6: Final answer
    x = 385.71

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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.