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Finding the Fourth Proportional to 499.82, 749.01 and 256.28

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Solution

The fourth proportional to 499.82, 749.01 and 256.28 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.82 : 749.01 = 256.28 : x
  2. Step 2: Convert to fraction form
    499.82/749.01 = 256.28/x
  3. Step 3: Cross multiply
    499.82x = 749.01 × 256.28
  4. Step 4: Simplify right side
    499.82x = 191,956.28
  5. Step 5: Solve for x
    x = 191,956.28/499.82
  6. Step 6: Final answer
    x = 384.05

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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.