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Finding the Fourth Proportional to 499.86, 749.94 and 256.56

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Solution

The fourth proportional to 499.86, 749.94 and 256.56 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.86 : 749.94 = 256.56 : x
  2. Step 2: Convert to fraction form
    499.86/749.94 = 256.56/x
  3. Step 3: Cross multiply
    499.86x = 749.94 × 256.56
  4. Step 4: Simplify right side
    499.86x = 192,404.61
  5. Step 5: Solve for x
    x = 192,404.61/499.86
  6. Step 6: Final answer
    x = 384.92

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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.