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Finding the Fourth Proportional to 649.79, 975.21 and 341.83

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Solution

The fourth proportional to 649.79, 975.21 and 341.83 is: 513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.79 : 975.21 = 341.83 : x
  2. Step 2: Convert to fraction form
    649.79/975.21 = 341.83/x
  3. Step 3: Cross multiply
    649.79x = 975.21 × 341.83
  4. Step 4: Simplify right side
    649.79x = 333,356.03
  5. Step 5: Solve for x
    x = 333,356.03/649.79
  6. Step 6: Final answer
    x = 513.02

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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.