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Finding the Fourth Proportional to 499.84, 689.70 and 344.68

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Solution

The fourth proportional to 499.84, 689.70 and 344.68 is: 475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 689.70 = 344.68 : x
  2. Step 2: Convert to fraction form
    499.84/689.70 = 344.68/x
  3. Step 3: Cross multiply
    499.84x = 689.70 × 344.68
  4. Step 4: Simplify right side
    499.84x = 237,725.80
  5. Step 5: Solve for x
    x = 237,725.80/499.84
  6. Step 6: Final answer
    x = 475.60

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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.