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Finding the Fourth Proportional to 649.88, 975.18 and 361.48

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Solution

The fourth proportional to 649.88, 975.18 and 361.48 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 975.18 = 361.48 : x
  2. Step 2: Convert to fraction form
    649.88/975.18 = 361.48/x
  3. Step 3: Cross multiply
    649.88x = 975.18 × 361.48
  4. Step 4: Simplify right side
    649.88x = 352,508.07
  5. Step 5: Solve for x
    x = 352,508.07/649.88
  6. Step 6: Final answer
    x = 542.42

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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.