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Finding the Fourth Proportional to 649.34, 973.88 and 259.22

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Solution

The fourth proportional to 649.34, 973.88 and 259.22 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 973.88 = 259.22 : x
  2. Step 2: Convert to fraction form
    649.34/973.88 = 259.22/x
  3. Step 3: Cross multiply
    649.34x = 973.88 × 259.22
  4. Step 4: Simplify right side
    649.34x = 252,449.17
  5. Step 5: Solve for x
    x = 252,449.17/649.34
  6. Step 6: Final answer
    x = 388.78

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