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Finding the Fourth Proportional to 499.84, 689.75 and 275.75

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Solution

The fourth proportional to 499.84, 689.75 and 275.75 is: 380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 689.75 = 275.75 : x
  2. Step 2: Convert to fraction form
    499.84/689.75 = 275.75/x
  3. Step 3: Cross multiply
    499.84x = 689.75 × 275.75
  4. Step 4: Simplify right side
    499.84x = 190,201.24
  5. Step 5: Solve for x
    x = 190,201.24/499.84
  6. Step 6: Final answer
    x = 380.53

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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.