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Finding the Fourth Proportional to 499.84, 690.05 and 447.19

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Solution

The fourth proportional to 499.84, 690.05 and 447.19 is: 617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 690.05 = 447.19 : x
  2. Step 2: Convert to fraction form
    499.84/690.05 = 447.19/x
  3. Step 3: Cross multiply
    499.84x = 690.05 × 447.19
  4. Step 4: Simplify right side
    499.84x = 308,582.85
  5. Step 5: Solve for x
    x = 308,582.85/499.84
  6. Step 6: Final answer
    x = 617.37

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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.