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Finding the Fourth Proportional to 499.97, 689.66 and 300.74

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Solution

The fourth proportional to 499.97, 689.66 and 300.74 is: 414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.97 : 689.66 = 300.74 : x
  2. Step 2: Convert to fraction form
    499.97/689.66 = 300.74/x
  3. Step 3: Cross multiply
    499.97x = 689.66 × 300.74
  4. Step 4: Simplify right side
    499.97x = 207,403.40
  5. Step 5: Solve for x
    x = 207,403.40/499.97
  6. Step 6: Final answer
    x = 414.84

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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.