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Finding the Fourth Proportional to 499.85, 754.13 and 498.50

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Solution

The fourth proportional to 499.85, 754.13 and 498.50 is: 752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.85 : 754.13 = 498.50 : x
  2. Step 2: Convert to fraction form
    499.85/754.13 = 498.50/x
  3. Step 3: Cross multiply
    499.85x = 754.13 × 498.50
  4. Step 4: Simplify right side
    499.85x = 375,927.54
  5. Step 5: Solve for x
    x = 375,927.54/499.85
  6. Step 6: Final answer
    x = 752.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.