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Finding the Fourth Proportional to 649.09, 973.64 and 264.25

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Solution

The fourth proportional to 649.09, 973.64 and 264.25 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 973.64 = 264.25 : x
  2. Step 2: Convert to fraction form
    649.09/973.64 = 264.25/x
  3. Step 3: Cross multiply
    649.09x = 973.64 × 264.25
  4. Step 4: Simplify right side
    649.09x = 257,284.37
  5. Step 5: Solve for x
    x = 257,284.37/649.09
  6. Step 6: Final answer
    x = 396.38

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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.