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Finding the Fourth Proportional to 499.74, 748.98 and 255.72

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Solution

The fourth proportional to 499.74, 748.98 and 255.72 is: 383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 748.98 = 255.72 : x
  2. Step 2: Convert to fraction form
    499.74/748.98 = 255.72/x
  3. Step 3: Cross multiply
    499.74x = 748.98 × 255.72
  4. Step 4: Simplify right side
    499.74x = 191,529.17
  5. Step 5: Solve for x
    x = 191,529.17/499.74
  6. Step 6: Final answer
    x = 383.26

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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.