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Finding the Fourth Proportional to 649.76, 975.16 and 341.80

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Solution

The fourth proportional to 649.76, 975.16 and 341.80 is: 512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 975.16 = 341.80 : x
  2. Step 2: Convert to fraction form
    649.76/975.16 = 341.80/x
  3. Step 3: Cross multiply
    649.76x = 975.16 × 341.80
  4. Step 4: Simplify right side
    649.76x = 333,307.68
  5. Step 5: Solve for x
    x = 333,307.68/649.76
  6. Step 6: Final answer
    x = 512.97

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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.