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Finding the Fourth Proportional to 649.14, 973.85 and 238.28

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Solution

The fourth proportional to 649.14, 973.85 and 238.28 is: 357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 973.85 = 238.28 : x
  2. Step 2: Convert to fraction form
    649.14/973.85 = 238.28/x
  3. Step 3: Cross multiply
    649.14x = 973.85 × 238.28
  4. Step 4: Simplify right side
    649.14x = 232,048.98
  5. Step 5: Solve for x
    x = 232,048.98/649.14
  6. Step 6: Final answer
    x = 357.47

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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.