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Finding the Fourth Proportional to 499.49, 688.74 and 342.14

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Solution

The fourth proportional to 499.49, 688.74 and 342.14 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.49 : 688.74 = 342.14 : x
  2. Step 2: Convert to fraction form
    499.49/688.74 = 342.14/x
  3. Step 3: Cross multiply
    499.49x = 688.74 × 342.14
  4. Step 4: Simplify right side
    499.49x = 235,645.94
  5. Step 5: Solve for x
    x = 235,645.94/499.49
  6. Step 6: Final answer
    x = 471.78

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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.