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Finding the Fourth Proportional to 649.99, 975.60 and 342.07

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Solution

The fourth proportional to 649.99, 975.60 and 342.07 is: 513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 975.60 = 342.07 : x
  2. Step 2: Convert to fraction form
    649.99/975.60 = 342.07/x
  3. Step 3: Cross multiply
    649.99x = 975.60 × 342.07
  4. Step 4: Simplify right side
    649.99x = 333,723.49
  5. Step 5: Solve for x
    x = 333,723.49/649.99
  6. Step 6: Final answer
    x = 513.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.