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Finding the Fourth Proportional to 657.14, 985.86 and 224.28

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Solution

The fourth proportional to 657.14, 985.86 and 224.28 is: 336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 985.86 = 224.28 : x
  2. Step 2: Convert to fraction form
    657.14/985.86 = 224.28/x
  3. Step 3: Cross multiply
    657.14x = 985.86 × 224.28
  4. Step 4: Simplify right side
    657.14x = 221,108.68
  5. Step 5: Solve for x
    x = 221,108.68/657.14
  6. Step 6: Final answer
    x = 336.47

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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.