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Finding the Fourth Proportional to 649.86, 975.15 and 341.76

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Solution

The fourth proportional to 649.86, 975.15 and 341.76 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 975.15 = 341.76 : x
  2. Step 2: Convert to fraction form
    649.86/975.15 = 341.76/x
  3. Step 3: Cross multiply
    649.86x = 975.15 × 341.76
  4. Step 4: Simplify right side
    649.86x = 333,267.26
  5. Step 5: Solve for x
    x = 333,267.26/649.86
  6. Step 6: Final answer
    x = 512.83

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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.