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Finding the Fourth Proportional to 499.82, 750.41 and 256.52

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Solution

The fourth proportional to 499.82, 750.41 and 256.52 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.82 : 750.41 = 256.52 : x
  2. Step 2: Convert to fraction form
    499.82/750.41 = 256.52/x
  3. Step 3: Cross multiply
    499.82x = 750.41 × 256.52
  4. Step 4: Simplify right side
    499.82x = 192,493.95
  5. Step 5: Solve for x
    x = 192,493.95/499.82
  6. Step 6: Final answer
    x = 385.13

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