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Finding the Fourth Proportional to 499.50, 689.50 and 344.70

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Solution

The fourth proportional to 499.50, 689.50 and 344.70 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 689.50 = 344.70 : x
  2. Step 2: Convert to fraction form
    499.50/689.50 = 344.70/x
  3. Step 3: Cross multiply
    499.50x = 689.50 × 344.70
  4. Step 4: Simplify right side
    499.50x = 237,670.65
  5. Step 5: Solve for x
    x = 237,670.65/499.50
  6. Step 6: Final answer
    x = 475.82

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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.