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Finding the Fourth Proportional to 499.23, 689.01 and 380.98

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Solution

The fourth proportional to 499.23, 689.01 and 380.98 is: 525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 689.01 = 380.98 : x
  2. Step 2: Convert to fraction form
    499.23/689.01 = 380.98/x
  3. Step 3: Cross multiply
    499.23x = 689.01 × 380.98
  4. Step 4: Simplify right side
    499.23x = 262,496.54
  5. Step 5: Solve for x
    x = 262,496.54/499.23
  6. Step 6: Final answer
    x = 525.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.