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Finding the Fourth Proportional to 499.07, 749.07 and 255.77

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Solution

The fourth proportional to 499.07, 749.07 and 255.77 is: 383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.07 : 749.07 = 255.77 : x
  2. Step 2: Convert to fraction form
    499.07/749.07 = 255.77/x
  3. Step 3: Cross multiply
    499.07x = 749.07 × 255.77
  4. Step 4: Simplify right side
    499.07x = 191,589.63
  5. Step 5: Solve for x
    x = 191,589.63/499.07
  6. Step 6: Final answer
    x = 383.89

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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.